252133568 has 56 divisors (see below), whose sum is σ = 516331200. Its totient is φ = 122093568.

The previous prime is 252133547. The next prime is 252133603. The reversal of 252133568 is 865331252.

It is a super-2 number, since 2×252133568² = 127142672224821248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327488 + ... + 328256.

It is an arithmetic number, because the mean of its divisors is an integer number (9220200).

Almost surely, 2^252133568 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 252133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258165600).

252133568 is an abundant number, since it is smaller than the sum of its proper divisors (264197632).

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

252133568 is a wasteful number, since it uses less digits than its factorization.

252133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 927 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 252133568 is about 15878.7143056357. The cubic root of 252133568 is about 631.7475357586.

The spelling of 252133568 in words is "two hundred fifty-two million, one hundred thirty-three thousand, five hundred sixty-eight".