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523 is a prime number from 501-600. 523 has 2 factors, 1 and 523. It is the 99th prime number, and the fourth prime number from 501-600.

## As an Exponent of Mersenne Number

2523 - 1 is not a prime number. The divisor has 69 digits:

```160188778313202118610543685368878688932828701136501444932217468039063
```

## Relationship with other odd numbers

### The numbers before

• The previous prime number is 521.
• There are no odd numbers between 521 and 523. As a result, they are twin primes.
• The previous prime number before 521 is 509.
• 511 is divisible by 7, while 517 is divisible by 11. Both numbers are composite.

### The numbers after

• The next prime number is 541. There is a tremendous 18-number prime gap between 523 and 541. All numbers between them are composite. In particular:
• 527 is the product of 17 and 31.
• 529 is the square of 23.
• 533 is the product of 13 and 41.
• 539 can be factored as 72 x 11.
• 531 and 537 are divisible by 3, and 535 is visibly divisible by 5.
• 547 is the next prime number after 541.
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