252277128 has 24 divisors (see below), whose sum is σ = 683250750. Its totient is φ = 84092352.

The previous prime is 252277037. The next prime is 252277139. The reversal of 252277128 is 821772252.

252277128 is a `hidden beast` number, since 2 + 522 + 7 + 7 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 252237924 + 39204 = 15882^2 + 198^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 252277092 and 252277101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751853 + ... + 1751996.

Almost surely, 2^252277128 is an apocalyptic number.

It is an amenable number.

252277128 is an abundant number, since it is smaller than the sum of its proper divisors (430973622).

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

252277128 is a wasteful number, since it uses less digits than its factorization.

252277128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503861 (or 3503854 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 252277128 is about 15883.2341794737. The cubic root of 252277128 is about 631.8674146377.

It can be divided in two parts, 252277 and 128, that added together give a triangular number (252405 = T₇₁₀).

The spelling of 252277128 in words is "two hundred fifty-two million, two hundred seventy-seven thousand, one hundred twenty-eight".