252962134656 has 576 divisors, whose sum is σ = 906014224800. Its totient is φ = 61824860160.

The previous prime is 252962134651. The next prime is 252962134669. The reversal of 252962134656 is 656431269252.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 252962134599 and 252962134608.

It is not an unprimeable number, because it can be changed into a prime (252962134651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59813950 + ... + 59818178.

Almost surely, 2^252962134656 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 252962134656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453007112400).

252962134656 is an abundant number, since it is smaller than the sum of its proper divisors (653052090144).

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

252962134656 is a wasteful number, since it uses less digits than its factorization.

252962134656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4305 (or 4269 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The spelling of 252962134656 in words is "two hundred fifty-two billion, nine hundred sixty-two million, one hundred thirty-four thousand, six hundred fifty-six".