256753056251601 has 256 divisors, whose sum is σ = 486404110080000. Its totient is φ = 134646465348864.

The previous prime is 256753056251569. The next prime is 256753056251603. The reversal of 256753056251601 is 106152650357652.

256753056251601 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 5 + 3 + 0 + 5 + 6 + 25 + 1 + 601 = 666.

It is not a de Polignac number, because 256753056251601 - 2⁵ = 256753056251569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256753056251603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1686991015 + ... + 1687143203.

It is an arithmetic number, because the mean of its divisors is an integer number (1900016055000).

Almost surely, 2^{256753056251601} is an apocalyptic number.

256753056251601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

256753056251601 is a deficient number, since it is larger than the sum of its proper divisors (229651053828399).

256753056251601 is an equidigital number, since it uses as much as digits as its factorization.

256753056251601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152417 (or 152385 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 256753056251601 in words is "two hundred fifty-six trillion, seven hundred fifty-three billion, fifty-six million, two hundred fifty-one thousand, six hundred one".