652485584256 has 64 divisors (see below), whose sum is σ = 1890725284800. Its totient is φ = 197722903040.

The previous prime is 652485584251. The next prime is 652485584381.

652485584256 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×652485584256³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 652485584256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (652485584251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77231286 + ... + 77239733.

It is an arithmetic number, because the mean of its divisors is an integer number (29542582575).

Almost surely, 2^652485584256 is an apocalyptic number.

652485584256 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

652485584256 is an abundant number, since it is smaller than the sum of its proper divisors (1238239700544).

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

652485584256 is a wasteful number, since it uses less digits than its factorization.

652485584256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154471047 (or 154471035 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 652485584256 in words is "six hundred fifty-two billion, four hundred eighty-five million, five hundred eighty-four thousand, two hundred fifty-six".