252576 has 36 divisors (see below), whose sum is σ = 719082. Its totient is φ = 84096.

The previous prime is 252559. The next prime is 252583. The reversal of 252576 is 675252.

252576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 176400 + 76176 = 420^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151 + ... + 726.

2²⁵²⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

252576 is an abundant number, since it is smaller than the sum of its proper divisors (466506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252576 is a wasteful number, since it uses less digits than its factorization.

252576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 882 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 252576 is about 502.5693981929. The cubic root of 252576 is about 63.2116840012.

It can be divided in two parts, 2525 and 76, that added together give a square (2601 = 51²).

The spelling of 252576 in words is "two hundred fifty-two thousand, five hundred seventy-six".