256507724562713 has 16 divisors (see below), whose sum is σ = 276470275737600. Its totient is φ = 236578250784960.

The previous prime is 256507724562671. The next prime is 256507724562721. The reversal of 256507724562713 is 317265427705652.

It is a cyclic number.

It is not a de Polignac number, because 256507724562713 - 2⁸ = 256507724562457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256507724562013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 121127108 + ... + 123226586.

It is an arithmetic number, because the mean of its divisors is an integer number (17279392233600).

Almost surely, 2^{256507724562713} is an apocalyptic number.

It is an amenable number.

256507724562713 is a deficient number, since it is larger than the sum of its proper divisors (19962551174887).

256507724562713 is a wasteful number, since it uses less digits than its factorization.

256507724562713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107352.

The product of its (nonzero) digits is 148176000, while the sum is 62.

The spelling of 256507724562713 in words is "two hundred fifty-six trillion, five hundred seven billion, seven hundred twenty-four million, five hundred sixty-two thousand, seven hundred thirteen".