252544 has 16 divisors (see below), whose sum is σ = 503370. Its totient is φ = 126208.

The previous prime is 252541. The next prime is 252559. The reversal of 252544 is 445252.

It can be written as a sum of positive squares in only one way, i.e., 238144 + 14400 = 488^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (252541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 859 + ... + 1114.

2²⁵²⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

252544 is a deficient number, since it is larger than the sum of its proper divisors (250826).

252544 is an equidigital number, since it uses as much as digits as its factorization.

252544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1975 counting only the distinct ones).

The product of its digits is 1600, while the sum is 22.

The square root of 252544 is about 502.5375607853. The cubic root of 252544 is about 63.2090143634.

Adding to 252544 its reverse (445252), we get a palindrome (697796).

The spelling of 252544 in words is "two hundred fifty-two thousand, five hundred forty-four".