252131688 has 48 divisors (see below), whose sum is σ = 697394880. Its totient is φ = 82254624.

The previous prime is 252131687. The next prime is 252131689. The reversal of 252131688 is 886131252.

It is a happy number.

252131688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252131687) and next prime (252131689).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252131687) 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, 33870 + ... + 40637.

It is an arithmetic number, because the mean of its divisors is an integer number (14529060).

Almost surely, 2^252131688 is an apocalyptic number.

It is an amenable number.

252131688 is an abundant number, since it is smaller than the sum of its proper divisors (445263192).

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

252131688 is a wasteful number, since it uses less digits than its factorization.

252131688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74566 (or 74559 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 252131688 is about 15878.6551067778. The cubic root of 252131688 is about 631.7459655745.

The spelling of 252131688 in words is "two hundred fifty-two million, one hundred thirty-one thousand, six hundred eighty-eight".