256801723201 has 2 divisors, whose sum is σ = 256801723202. Its totient is φ = 256801723200.

The previous prime is 256801723187. The next prime is 256801723229. The reversal of 256801723201 is 102327108652.

256801723201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212358758976 + 44442964225 = 460824^2 + 210815^2 .

It is a cyclic number.

It is not a de Polignac number, because 256801723201 - 2⁵ = 256801723169 is a prime.

It is not a weakly prime, because it can be changed into another prime (256801723271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128400861600 + 128400861601.

It is an arithmetic number, because the mean of its divisors is an integer number (128400861601).

Almost surely, 2^256801723201 is an apocalyptic number.

It is an amenable number.

256801723201 is a deficient number, since it is larger than the sum of its proper divisors (1).

256801723201 is an equidigital number, since it uses as much as digits as its factorization.

256801723201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 256801723201 in words is "two hundred fifty-six billion, eight hundred one million, seven hundred twenty-three thousand, two hundred one".