256630277434001 has 2 divisors, whose sum is σ = 256630277434002. Its totient is φ = 256630277434000.

The previous prime is 256630277433839. The next prime is 256630277434043. The reversal of 256630277434001 is 100434772036652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193796356997776 + 62833920436225 = 13921076^2 + 7926785^2 .

It is a cyclic number.

It is not a de Polignac number, because 256630277434001 - 2¹⁴ = 256630277417617 is a prime.

It is not a weakly prime, because it can be changed into another prime (256630277433001) 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, 128315138717000 + 128315138717001.

It is an arithmetic number, because the mean of its divisors is an integer number (128315138717001).

Almost surely, 2^{256630277434001} is an apocalyptic number.

It is an amenable number.

256630277434001 is a deficient number, since it is larger than the sum of its proper divisors (1).

256630277434001 is an equidigital number, since it uses as much as digits as its factorization.

256630277434001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 50.

The spelling of 256630277434001 in words is "two hundred fifty-six trillion, six hundred thirty billion, two hundred seventy-seven million, four hundred thirty-four thousand, one".