652653356256 has 384 divisors, whose sum is σ = 2102053524480. Its totient is φ = 195362150400.

The previous prime is 652653356233. The next prime is 652653356291.

652653356256 is a `hidden beast` number, since 6 + 5 + 2 + 6 + 5 + 3 + 3 + 5 + 625 + 6 = 666.

652653356256 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 639229026 + ... + 639230046.

It is an arithmetic number, because the mean of its divisors is an integer number (5474097720).

Almost surely, 2^652653356256 is an apocalyptic number.

652653356256 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 652653356256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051026762240).

652653356256 is an abundant number, since it is smaller than the sum of its proper divisors (1449400168224).

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

652653356256 is a wasteful number, since it uses less digits than its factorization.

652653356256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1793 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

The spelling of 652653356256 in words is "six hundred fifty-two billion, six hundred fifty-three million, three hundred fifty-six thousand, two hundred fifty-six".