252113472 has 336 divisors, whose sum is σ = 854293440. Its totient is φ = 73156608.

The previous prime is 252113471. The next prime is 252113479. The reversal of 252113472 is 274311252.

252113472 is a `hidden beast` number, since 2 + 521 + 134 + 7 + 2 = 666.

It is a super-2 number, since 2×252113472² = 127122405527789568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3360) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (252113471) 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, 5863083 + ... + 5863125.

It is an arithmetic number, because the mean of its divisors is an integer number (2542540).

Almost surely, 2^252113472 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 252113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427146720).

252113472 is an abundant number, since it is smaller than the sum of its proper divisors (602179968).

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

252113472 is a wasteful number, since it uses less digits than its factorization.

252113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 252113472 is about 15878.0814962010. The cubic root of 252113472 is about 631.7307510891.

The spelling of 252113472 in words is "two hundred fifty-two million, one hundred thirteen thousand, four hundred seventy-two".