252131064 has 48 divisors (see below), whose sum is σ = 665271720. Its totient is φ = 79617600.

The previous prime is 252131039. The next prime is 252131069. The reversal of 252131064 is 460131252.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252131069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5887 + ... + 23214.

Almost surely, 2^252131064 is an apocalyptic number.

252131064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252131064 is an abundant number, since it is smaller than the sum of its proper divisors (413140656).

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

252131064 is a wasteful number, since it uses less digits than its factorization.

252131064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29148 (or 29125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 252131064 is about 15878.6354577464. The cubic root of 252131064 is about 631.7454444053.

It can be divided in two parts, 252 and 131064, that multiplied together give a triangular number (33028128 = T₈₁₂₇).

The spelling of 252131064 in words is "two hundred fifty-two million, one hundred thirty-one thousand, sixty-four".