652563365256 has 64 divisors (see below), whose sum is σ = 1977464750400. Its totient is φ = 197746473600.

The previous prime is 652563365243. The next prime is 652563365257.

652563365256 is a `hidden beast` number, since 6 + 5 + 2 + 56 + 336 + 5 + 256 = 666.

652563365256 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (652563365257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137321565 + ... + 137326316.

It is an arithmetic number, because the mean of its divisors is an integer number (30897886725).

Almost surely, 2^652563365256 is an apocalyptic number.

652563365256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

652563365256 is an abundant number, since it is smaller than the sum of its proper divisors (1324901385144).

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

652563365256 is a wasteful number, since it uses less digits than its factorization.

652563365256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274647907 (or 274647897 counting only the distinct ones).

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

The spelling of 652563365256 in words is "six hundred fifty-two billion, five hundred sixty-three million, three hundred sixty-five thousand, two hundred fifty-six".