256623324215057 has 2 divisors, whose sum is σ = 256623324215058. Its totient is φ = 256623324215056.

The previous prime is 256623324215039. The next prime is 256623324215081. The reversal of 256623324215057 is 750512423326652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167309464953856 + 89313859261201 = 12934816^2 + 9450601^2 .

It is a cyclic number.

It is not a de Polignac number, because 256623324215057 - 2⁶ = 256623324214993 is a prime.

It is not a weakly prime, because it can be changed into another prime (256623324211057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128311662107528 + 128311662107529.

It is an arithmetic number, because the mean of its divisors is an integer number (128311662107529).

Almost surely, 2^{256623324215057} is an apocalyptic number.

It is an amenable number.

256623324215057 is a deficient number, since it is larger than the sum of its proper divisors (1).

256623324215057 is an equidigital number, since it uses as much as digits as its factorization.

256623324215057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144000, while the sum is 53.

The spelling of 256623324215057 in words is "two hundred fifty-six trillion, six hundred twenty-three billion, three hundred twenty-four million, two hundred fifteen thousand, fifty-seven".