256763073347725 has 48 divisors (see below), whose sum is σ = 385337600707968. Its totient is φ = 165681952727040.

The previous prime is 256763073347719. The next prime is 256763073347779. The reversal of 256763073347725 is 527743370367652.

It is not a de Polignac number, because 256763073347725 - 2³ = 256763073347717 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 47 ways as a sum of consecutive naturals, for example, 10936509 + ... + 25162141.

It is an arithmetic number, because the mean of its divisors is an integer number (8027866681416).

Almost surely, 2^{256763073347725} is an apocalyptic number.

256763073347725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

256763073347725 is a deficient number, since it is larger than the sum of its proper divisors (128574527360243).

256763073347725 is a wasteful number, since it uses less digits than its factorization.

256763073347725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231734 (or 14231729 counting only the distinct ones).

The product of its (nonzero) digits is 933508800, while the sum is 67.

The spelling of 256763073347725 in words is "two hundred fifty-six trillion, seven hundred sixty-three billion, seventy-three million, three hundred forty-seven thousand, seven hundred twenty-five".