Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already cover read-only, idempotent, non-destructive, and open-world behavior. The description adds important context beyond annotations: a paid x402/Solana call costing $0.001 USDC per successful call and an equivalent HTTPS endpoint. It does not describe response shape details, but the key commercial and protocol behavior is disclosed.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is front-loaded with the mathematical definition, followed by compact examples, the valid range, and payment/access details. Every sentence contributes useful information without repetition.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

There is no output schema, so exact return fields are not specified, but the description explains the conceptual output clearly: the max divisor count and the smallest integer attaining it. For a simple one-parameter math lookup with annotations and pricing disclosed, this is largely complete.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%, so the description must carry the burden for the single parameter n. It clarifies that n is the inclusive upper bound and that it runs from 1 to 20000, which adds some meaning beyond the schema's min/max, but it does not add format or type guidance beyond integer.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

The description states a specific computation: the largest divisor count over 1..n and the smallest integer attaining it, with concrete examples for n=10 and n=12. It is clear what the tool does, but it does not explicitly distinguish itself from nearby siblings such as highly_composite or divisor_count.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides no explicit when-to-use or when-not-to-use guidance and does not name alternatives. The only constraint is the valid range n=1..20000, which is a domain limit rather than usage guidance.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.