256507172607501 has 12 divisors (see below), whose sum is σ = 371877557338560. Its totient is φ = 170373767781960.

The previous prime is 256507172607467. The next prime is 256507172607541. The reversal of 256507172607501 is 105706271705652.

256507172607501 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 0 + 7 + 1 + 72 + 60 + 7 + 501 = 666.

It is not a de Polignac number, because 256507172607501 - 2⁶ = 256507172607437 is a prime.

It is a super-2 number, since 2×256507172607501² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256507172607541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52584493791 + ... + 52584498668.

It is an arithmetic number, because the mean of its divisors is an integer number (30989796444880).

Almost surely, 2^{256507172607501} is an apocalyptic number.

It is an amenable number.

256507172607501 is a deficient number, since it is larger than the sum of its proper divisors (115370384731059).

256507172607501 is a wasteful number, since it uses less digits than its factorization.

256507172607501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105168992736 (or 105168992733 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 54.

The spelling of 256507172607501 in words is "two hundred fifty-six trillion, five hundred seven billion, one hundred seventy-two million, six hundred seven thousand, five hundred one".