509257 has 12 divisors (see below), whose sum is σ = 624720. Its totient is φ = 412776.

The previous prime is 509239. The next prime is 509263. The reversal of 509257 is 752905.

It is a de Polignac number, because none of the positive numbers 2^k-509257 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (509227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658 + ... + 1204.

It is an arithmetic number, because the mean of its divisors is an integer number (52060).

2⁵⁰⁹²⁵⁷ is an apocalyptic number.

It is an amenable number.

509257 is a deficient number, since it is larger than the sum of its proper divisors (115463).

509257 is a wasteful number, since it uses less digits than its factorization.

509257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 509257 is about 713.6224491985. The cubic root of 509257 is about 79.8568795260.

The spelling of 509257 in words is "five hundred nine thousand, two hundred fifty-seven".