656252252656 has 360 divisors, whose sum is σ = 1747297978272. Its totient is φ = 233595648000.

The previous prime is 656252252639. The next prime is 656252252671.

656252252656 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231317670 + ... + 231320506.

Almost surely, 2^656252252656 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 656252252656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873648989136).

656252252656 is an abundant number, since it is smaller than the sum of its proper divisors (1091045725616).

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

656252252656 is a wasteful number, since it uses less digits than its factorization.

656252252656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001 (or 2971 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 52.

The spelling of 656252252656 in words is "six hundred fifty-six billion, two hundred fifty-two million, two hundred fifty-two thousand, six hundred fifty-six".