252291312 has 180 divisors, whose sum is σ = 874368144. Its totient is φ = 66493440.

The previous prime is 252291311. The next prime is 252291331. The reversal of 252291312 is 213192252.

It is a happy number.

252291312 is a `hidden beast` number, since 2 + 522 + 9 + 131 + 2 = 666.

It is a super-2 number, since 2×252291312² = 127301812221362688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252291311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169612 + ... + 171092.

Almost surely, 2^252291312 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 252291312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437184072).

252291312 is an abundant number, since it is smaller than the sum of its proper divisors (622076832).

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

252291312 is a wasteful number, since it uses less digits than its factorization.

252291312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1506 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 252291312 is about 15883.6806817564. The cubic root of 252291312 is about 631.8792564292.

It can be divided in two parts, 252 and 291312, that multiplied together give a square (73410624 = 8568²).

The spelling of 252291312 in words is "two hundred fifty-two million, two hundred ninety-one thousand, three hundred twelve".