252262252 has 144 divisors (see below), whose sum is σ = 566286336. Its totient is φ = 97574400.

The previous prime is 252262187. The next prime is 252262253.

252262252 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×252262252² = 127272487568223008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 252262252.

It is not an unprimeable number, because it can be changed into a prime (252262253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5866543 + ... + 5866585.

It is an arithmetic number, because the mean of its divisors is an integer number (3932544).

Almost surely, 2^252262252 is an apocalyptic number.

252262252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

252262252 is an abundant number, since it is smaller than the sum of its proper divisors (314024084).

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

252262252 is a wasteful number, since it uses less digits than its factorization.

252262252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 252262252 is about 15882.7658800349. The cubic root of 252262252 is about 631.8549946395.

The spelling of 252262252 in words is "two hundred fifty-two million, two hundred sixty-two thousand, two hundred fifty-two".