252131328 has 72 divisors (see below), whose sum is σ = 728254800. Its totient is φ = 84037632.

The previous prime is 252131323. The next prime is 252131333. The reversal of 252131328 is 823131252.

252131328 is a `hidden beast` number, since 2 + 521 + 3 + 132 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (252131323) and next prime (252131333).

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252131323) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11593 + ... + 25271.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^252131328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364127400).

252131328 is an abundant number, since it is smaller than the sum of its proper divisors (476123472).

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

252131328 is a wasteful number, since it uses less digits than its factorization.

252131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13707 (or 13684 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 252131328 is about 15878.6437708011. The cubic root of 252131328 is about 631.7456649001.

The spelling of 252131328 in words is "two hundred fifty-two million, one hundred thirty-one thousand, three hundred twenty-eight".