252251136 has 132 divisors (see below), whose sum is σ = 738295584. Its totient is φ = 82944000.

The previous prime is 252251107. The next prime is 252251141. The reversal of 252251136 is 631152252.

It is a happy number.

252251136 is a `hidden beast` number, since 2 + 522 + 5 + 1 + 136 = 666.

It is a super-2 number, since 2×252251136² = 127261271226580992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 930681 + ... + 930951.

Almost surely, 2^252251136 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 252251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369147792).

252251136 is an abundant number, since it is smaller than the sum of its proper divisors (486044448).

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

252251136 is a wasteful number, since it uses less digits than its factorization.

252251136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 252251136 is about 15882.4159371300. The cubic root of 252251136 is about 631.8457135531.

The spelling of 252251136 in words is "two hundred fifty-two million, two hundred fifty-one thousand, one hundred thirty-six".