252057 has 16 divisors (see below), whose sum is σ = 379008. Its totient is φ = 147840.

The previous prime is 252037. The next prime is 252079. The reversal of 252057 is 750252.

It is not a de Polignac number, because 252057 - 2¹⁰ = 251033 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252057.

It is not an unprimeable number, because it can be changed into a prime (252017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757 + ... + 1037.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2²⁵²⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

252057 is a deficient number, since it is larger than the sum of its proper divisors (126951).

252057 is a wasteful number, since it uses less digits than its factorization.

252057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320.

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 252057 is about 502.0527860694. The cubic root of 252057 is about 63.1683579522.

The spelling of 252057 in words is "two hundred fifty-two thousand, fifty-seven".