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521 is a prime number from 501-600. 521 has 2 factors, 1 and 521. It is the 98th prime number, and the third prime number from 501-600.

## Proofs

• — 521 can be divided by 1.
• — 521 cannot be divided by 2-520.
• — 521 can be divided by 521.

## As an Exponent of Mersenne Number

2521 - 1 is a prime number.

## Relationship with other odd numbers

### The numbers before

• The previous prime number is 509.
• 511 is divisible by 7, while 517 is divisible by 11. Both numbers are composite.
• The previous prime number before 509 is 503.

### The numbers after

• The next prime number is 523.
• There are no odd numbers between 521 and 523. As a result, they are twin primes.
• 541 is the next prime number after 523. It features a very large 18-number prime gap. As for the odd numbers between them:
• 527 is the product of 17 and 29.
• 529 is the square of 23.
• 533 is the product of 13 and 41.
• 537 can be factored as 72 x 11.
• 531 and 539 are divisible by 3, and 535 is visibly divisible by 5.

## Trivia

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