252807735936 has 256 divisors, whose sum is σ = 793481011200. Its totient is φ = 69788528640.

The previous prime is 252807735931. The next prime is 252807735941. The reversal of 252807735936 is 639537708252.

It is an interprime number because it is at equal distance from previous prime (252807735931) and next prime (252807735941).

It is not an unprimeable number, because it can be changed into a prime (252807735931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61077355 + ... + 61081493.

It is an arithmetic number, because the mean of its divisors is an integer number (3099535200).

Almost surely, 2^252807735936 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 252807735936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396740505600).

252807735936 is an abundant number, since it is smaller than the sum of its proper divisors (540673275264).

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

252807735936 is a wasteful number, since it uses less digits than its factorization.

252807735936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4927 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 252807735936 in words is "two hundred fifty-two billion, eight hundred seven million, seven hundred thirty-five thousand, nine hundred thirty-six".