252657356352 has 112 divisors (see below), whose sum is σ = 670742392320. Its totient is φ = 83935752192.

The previous prime is 252657356317. The next prime is 252657356377. The reversal of 252657356352 is 253653756252.

It is a junction number, because it is equal to n+sod(n) for n = 252657356295 and 252657356304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143636049 + ... + 143637807.

It is an arithmetic number, because the mean of its divisors is an integer number (5988771360).

Almost surely, 2^252657356352 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 252657356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335371196160).

252657356352 is an abundant number, since it is smaller than the sum of its proper divisors (418085035968).

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

252657356352 is a wasteful number, since it uses less digits than its factorization.

252657356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3868 (or 3858 counting only the distinct ones).

The product of its digits is 11340000, while the sum is 51.

The spelling of 252657356352 in words is "two hundred fifty-two billion, six hundred fifty-seven million, three hundred fifty-six thousand, three hundred fifty-two".