256612226147125 has 64 divisors (see below), whose sum is σ = 327522790932480. Its totient is φ = 200641433395200.

The previous prime is 256612226147033. The next prime is 256612226147161. The reversal of 256612226147125 is 521741622216652.

It is a de Polignac number, because none of the positive numbers 2^k-256612226147125 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 16707605196 + ... + 16707620554.

It is an arithmetic number, because the mean of its divisors is an integer number (5117543608320).

Almost surely, 2^{256612226147125} is an apocalyptic number.

256612226147125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256612226147125 is a deficient number, since it is larger than the sum of its proper divisors (70910564785355).

256612226147125 is a wasteful number, since it uses less digits than its factorization.

256612226147125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19207 (or 19197 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 52.

The spelling of 256612226147125 in words is "two hundred fifty-six trillion, six hundred twelve billion, two hundred twenty-six million, one hundred forty-seven thousand, one hundred twenty-five".