652746585647256 has 128 divisors (see below), whose sum is σ = 1692604632821760. Its totient is φ = 209600599104000.

The previous prime is 652746585647249. The next prime is 652746585647287.

It is a happy number.

652746585647256 is nontrivially palindromic in base 10.

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, 6890771365 + ... + 6890866091.

It is an arithmetic number, because the mean of its divisors is an integer number (13223473693920).

Almost surely, 2^{652746585647256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 652746585647256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846302316410880).

652746585647256 is an abundant number, since it is smaller than the sum of its proper divisors (1039858047174504).

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

652746585647256 is a wasteful number, since it uses less digits than its factorization.

652746585647256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171705 (or 171701 counting only the distinct ones).

The product of its digits is 20321280000, while the sum is 78.

The spelling of 652746585647256 in words is "six hundred fifty-two trillion, seven hundred forty-six billion, five hundred eighty-five million, six hundred forty-seven thousand, two hundred fifty-six".