252544295736 has 384 divisors, whose sum is σ = 761277553920. Its totient is φ = 75304599552.

The previous prime is 252544295677. The next prime is 252544295737. The reversal of 252544295736 is 637592445252.

252544295736 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 44 + 29 + 573 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252544295737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344534826 + ... + 344535558.

It is an arithmetic number, because the mean of its divisors is an integer number (1982493630).

Almost surely, 2^252544295736 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 252544295736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380638776960).

252544295736 is an abundant number, since it is smaller than the sum of its proper divisors (508733258184).

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

252544295736 is a wasteful number, since it uses less digits than its factorization.

252544295736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 252544295736 in words is "two hundred fifty-two billion, five hundred forty-four million, two hundred ninety-five thousand, seven hundred thirty-six".