10656625642625 has 16 divisors (see below), whose sum is σ = 13299840652800. Its totient is φ = 8525062148400.

The previous prime is 10656625642613. The next prime is 10656625642643. The reversal of 10656625642625 is 52624652665601.

It is a de Polignac number, because none of the positive numbers 2^k-10656625642625 is a prime.

It is a super-3 number, since 3×10656625642625³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3366206 + ... + 5713544.

It is an arithmetic number, because the mean of its divisors is an integer number (831240040800).

Almost surely, 2^{10656625642625} is an apocalyptic number.

It is an amenable number.

10656625642625 is a deficient number, since it is larger than the sum of its proper divisors (2643215010175).

10656625642625 is an equidigital number, since it uses as much as digits as its factorization.

10656625642625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383673 (or 2383663 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 56.

The spelling of 10656625642625 in words is "ten trillion, six hundred fifty-six billion, six hundred twenty-five million, six hundred forty-two thousand, six hundred twenty-five".