256431633056413 has 2 divisors, whose sum is σ = 256431633056414. Its totient is φ = 256431633056412.

The previous prime is 256431633056411. The next prime is 256431633056429. The reversal of 256431633056413 is 314650336134652.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249300794504644 + 7130838551769 = 15789262^2 + 2670363^2 .

It is a cyclic number.

It is not a de Polignac number, because 256431633056413 - 2¹ = 256431633056411 is a prime.

Together with 256431633056411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256431633056411) 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, 128215816528206 + 128215816528207.

It is an arithmetic number, because the mean of its divisors is an integer number (128215816528207).

Almost surely, 2^{256431633056413} is an apocalyptic number.

It is an amenable number.

256431633056413 is a deficient number, since it is larger than the sum of its proper divisors (1).

256431633056413 is an equidigital number, since it uses as much as digits as its factorization.

256431633056413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13996800, while the sum is 52.

The spelling of 256431633056413 in words is "two hundred fifty-six trillion, four hundred thirty-one billion, six hundred thirty-three million, fifty-six thousand, four hundred thirteen".