252053152 has 96 divisors (see below), whose sum is σ = 585824400. Its totient is φ = 105627648.

The previous prime is 252053149. The next prime is 252053171. The reversal of 252053152 is 251350252.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 197233936 + 54819216 = 14044^2 + 7404^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204474 + ... + 205702.

Almost surely, 2^252053152 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 252053152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292912200).

252053152 is an abundant number, since it is smaller than the sum of its proper divisors (333771248).

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

252053152 is a wasteful number, since it uses less digits than its factorization.

252053152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 252053152 is about 15876.1819087588. The cubic root of 252053152 is about 631.6803649963.

The spelling of 252053152 in words is "two hundred fifty-two million, fifty-three thousand, one hundred fifty-two".