652413314256 has 160 divisors (see below), whose sum is σ = 1951079408640. Its totient is φ = 185899929600.

The previous prime is 652413314237. The next prime is 652413314261.

652413314256 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261216 + ... + 1171776.

It is an arithmetic number, because the mean of its divisors is an integer number (12194246304).

Almost surely, 2^652413314256 is an apocalyptic number.

652413314256 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 652413314256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975539704320).

652413314256 is an abundant number, since it is smaller than the sum of its proper divisors (1298666094384).

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

652413314256 is a wasteful number, since it uses less digits than its factorization.

652413314256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910665 (or 910659 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

It can be divided in two parts, 652413 and 314256, that added together give a palindrome (966669).

The spelling of 652413314256 in words is "six hundred fifty-two billion, four hundred thirteen million, three hundred fourteen thousand, two hundred fifty-six".