252531 has 16 divisors (see below), whose sum is σ = 384000. Its totient is φ = 163944.

The previous prime is 252509. The next prime is 252533. The reversal of 252531 is 135252.

It is a happy number.

It is not a de Polignac number, because 252531 - 2¹³ = 244339 is a prime.

It is a super-2 number, since 2×252531² = 127543811922, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252531.

It is not an unprimeable number, because it can be changed into a prime (252533) 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, 1170 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

2²⁵²⁵³¹ is an apocalyptic number.

252531 is a deficient number, since it is larger than the sum of its proper divisors (131469).

252531 is a wasteful number, since it uses less digits than its factorization.

252531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 252531 is about 502.5246262622. The cubic root of 252531 is about 63.2079297586.

Adding to 252531 its reverse (135252), we get a palindrome (387783).

It can be divided in two parts, 2525 and 31, that added together give a triangular number (2556 = T₇₁).

The spelling of 252531 in words is "two hundred fifty-two thousand, five hundred thirty-one".