256726305217301 has 2 divisors, whose sum is σ = 256726305217302. Its totient is φ = 256726305217300.

The previous prime is 256726305217289. The next prime is 256726305217303. The reversal of 256726305217301 is 103712503627652.

256726305217301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178742835036676 + 77983470180625 = 13369474^2 + 8830825^2 .

It is a cyclic number.

It is not a de Polignac number, because 256726305217301 - 2¹⁸ = 256726304955157 is a prime.

Together with 256726305217303, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 256726305217301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (256726305217303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128363152608650 + 128363152608651.

It is an arithmetic number, because the mean of its divisors is an integer number (128363152608651).

Almost surely, 2^{256726305217301} is an apocalyptic number.

It is an amenable number.

256726305217301 is a deficient number, since it is larger than the sum of its proper divisors (1).

256726305217301 is an equidigital number, since it uses as much as digits as its factorization.

256726305217301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3175200, while the sum is 50.

The spelling of 256726305217301 in words is "two hundred fifty-six trillion, seven hundred twenty-six billion, three hundred five million, two hundred seventeen thousand, three hundred one".