507257 has 6 divisors (see below), whose sum is σ = 519498. Its totient is φ = 495264.

The previous prime is 507217. The next prime is 507289. The reversal of 507257 is 752705.

It can be written as a sum of positive squares in only one way, i.e., 287296 + 219961 = 536^2 + 469^2 .

It is not a de Polignac number, because 507257 - 2⁶ = 507193 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 507257.

It is not an unprimeable number, because it can be changed into a prime (507217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4433 + ... + 4545.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

2⁵⁰⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

507257 is a deficient number, since it is larger than the sum of its proper divisors (12241).

507257 is an equidigital number, since it uses as much as digits as its factorization.

507257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 507257 is about 712.2197694532. The cubic root of 507257 is about 79.7522019943.

The spelling of 507257 in words is "five hundred seven thousand, two hundred fifty-seven".