252113312 has 48 divisors (see below), whose sum is σ = 543467232. Its totient is φ = 114174720.

The previous prime is 252113287. The next prime is 252113317. The reversal of 252113312 is 213311252.

It is a super-2 number, since 2×252113312² = 127122244175218688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252113317) 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 7 ways as a sum of consecutive naturals, for example, 106898 + ... + 109230.

It is an arithmetic number, because the mean of its divisors is an integer number (11322234).

Almost surely, 2^252113312 is an apocalyptic number.

252113312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271733616).

252113312 is an abundant number, since it is smaller than the sum of its proper divisors (291353920).

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

252113312 is a wasteful number, since it uses less digits than its factorization.

252113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2653 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 252113312 is about 15878.0764578081. The cubic root of 252113312 is about 631.7306174496.

Adding to 252113312 its reverse (213311252), we get a palindrome (465424564).

The spelling of 252113312 in words is "two hundred fifty-two million, one hundred thirteen thousand, three hundred twelve".