256851302401 has 2 divisors, whose sum is σ = 256851302402. Its totient is φ = 256851302400.

The previous prime is 256851302377. The next prime is 256851302437. The reversal of 256851302401 is 104203158652.

256851302401 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., 197381164176 + 59470138225 = 444276^2 + 243865^2 .

It is a cyclic number.

It is not a de Polignac number, because 256851302401 - 2¹¹ = 256851300353 is a prime.

It is not a weakly prime, because it can be changed into another prime (256851306401) 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, 128425651200 + 128425651201.

It is an arithmetic number, because the mean of its divisors is an integer number (128425651201).

Almost surely, 2^256851302401 is an apocalyptic number.

It is an amenable number.

256851302401 is a deficient number, since it is larger than the sum of its proper divisors (1).

256851302401 is an equidigital number, since it uses as much as digits as its factorization.

256851302401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 256851302401 in words is "two hundred fifty-six billion, eight hundred fifty-one million, three hundred two thousand, four hundred one".