256630424173301 has 2 divisors, whose sum is σ = 256630424173302. Its totient is φ = 256630424173300.

The previous prime is 256630424173271. The next prime is 256630424173303. The reversal of 256630424173301 is 103371424036652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163851648207025 + 92778775966276 = 12800455^2 + 9632174^2 .

It is a cyclic number.

It is not a de Polignac number, because 256630424173301 - 2³⁴ = 256613244304117 is a prime.

It is a super-2 number, since 2×256630424173301² (a number of 30 digits) contains 22 as substring.

Together with 256630424173303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256630424173303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128315212086650 + 128315212086651.

It is an arithmetic number, because the mean of its divisors is an integer number (128315212086651).

Almost surely, 2^{256630424173301} is an apocalyptic number.

It is an amenable number.

256630424173301 is a deficient number, since it is larger than the sum of its proper divisors (1).

256630424173301 is an equidigital number, since it uses as much as digits as its factorization.

256630424173301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 47.

The spelling of 256630424173301 in words is "two hundred fifty-six trillion, six hundred thirty billion, four hundred twenty-four million, one hundred seventy-three thousand, three hundred one".