252358311296 has 256 divisors, whose sum is σ = 657158745600. Its totient is φ = 93733355520.

The previous prime is 252358311287. The next prime is 252358311301. The reversal of 252358311296 is 692113853252.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 252358311296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25003211 + ... + 25013301.

It is an arithmetic number, because the mean of its divisors is an integer number (2567026350).

Almost surely, 2^252358311296 is an apocalyptic number.

252358311296 is a gapful number since it is divisible by the number (26) 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 252358311296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328579372800).

252358311296 is an abundant number, since it is smaller than the sum of its proper divisors (404800434304).

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

252358311296 is a wasteful number, since it uses less digits than its factorization.

252358311296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10257 (or 10245 counting only the distinct ones).

The product of its digits is 777600, while the sum is 47.

The spelling of 252358311296 in words is "two hundred fifty-two billion, three hundred fifty-eight million, three hundred eleven thousand, two hundred ninety-six".