256799520001 has 2 divisors, whose sum is σ = 256799520002. Its totient is φ = 256799520000.

The previous prime is 256799519941. The next prime is 256799520031. The reversal of 256799520001 is 100025997652.

256799520001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207025910001 + 49773610000 = 455001^2 + 223100^2 .

It is a cyclic number.

It is not a de Polignac number, because 256799520001 - 2¹³ = 256799511809 is a prime.

It is not a weakly prime, because it can be changed into another prime (256799520031) 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, 128399760000 + 128399760001.

It is an arithmetic number, because the mean of its divisors is an integer number (128399760001).

Almost surely, 2^256799520001 is an apocalyptic number.

It is an amenable number.

256799520001 is a deficient number, since it is larger than the sum of its proper divisors (1).

256799520001 is an equidigital number, since it uses as much as digits as its factorization.

256799520001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 340200, while the sum is 46.

The spelling of 256799520001 in words is "two hundred fifty-six billion, seven hundred ninety-nine million, five hundred twenty thousand, one".