652656656256 has 256 divisors, whose sum is σ = 1944283461120. Its totient is φ = 192236544000.

The previous prime is 652656656237. The next prime is 652656656261.

652656656256 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 652656656256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255842181 + ... + 255844731.

It is an arithmetic number, because the mean of its divisors is an integer number (7594857270).

Almost surely, 2^652656656256 is an apocalyptic number.

652656656256 is a gapful number since it is divisible by the number (66) 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 652656656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972141730560).

652656656256 is an abundant number, since it is smaller than the sum of its proper divisors (1291626804864).

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

652656656256 is a wasteful number, since it uses less digits than its factorization.

652656656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4241 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 60.

The spelling of 652656656256 in words is "six hundred fifty-two billion, six hundred fifty-six million, six hundred fifty-six thousand, two hundred fifty-six".