252385128 has 48 divisors (see below), whose sum is σ = 723754980. Its totient is φ = 79179264.

The previous prime is 252385097. The next prime is 252385129. The reversal of 252385128 is 821583252.

252385128 is a `hidden beast` number, since 2 + 523 + 8 + 5 + 128 = 666.

252385128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189943524 + 62441604 = 13782^2 + 7902^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 252385092 and 252385101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252385129) 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, 101875 + ... + 104322.

Almost surely, 2^252385128 is an apocalyptic number.

It is an amenable number.

252385128 is an abundant number, since it is smaller than the sum of its proper divisors (471369852).

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

252385128 is a wasteful number, since it uses less digits than its factorization.

252385128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206226 (or 206219 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 252385128 is about 15886.6336270464. The cubic root of 252385128 is about 631.9575693888.

The spelling of 252385128 in words is "two hundred fifty-two million, three hundred eighty-five thousand, one hundred twenty-eight".