256827301795201 has 2 divisors, whose sum is σ = 256827301795202. Its totient is φ = 256827301795200.

The previous prime is 256827301795193. The next prime is 256827301795213. The reversal of 256827301795201 is 102597103728652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200752739788176 + 56074562007025 = 14168724^2 + 7488295^2 .

It is a cyclic number.

It is not a de Polignac number, because 256827301795201 - 2³ = 256827301795193 is a prime.

It is not a weakly prime, because it can be changed into another prime (256827301495201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128413650897600 + 128413650897601.

It is an arithmetic number, because the mean of its divisors is an integer number (128413650897601).

Almost surely, 2^{256827301795201} is an apocalyptic number.

It is an amenable number.

256827301795201 is a deficient number, since it is larger than the sum of its proper divisors (1).

256827301795201 is an equidigital number, since it uses as much as digits as its factorization.

256827301795201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 256827301795201 in words is "two hundred fifty-six trillion, eight hundred twenty-seven billion, three hundred one million, seven hundred ninety-five thousand, two hundred one".