256516733627417 has 2 divisors, whose sum is σ = 256516733627418. Its totient is φ = 256516733627416.

The previous prime is 256516733627393. The next prime is 256516733627467. The reversal of 256516733627417 is 714726337615652.

256516733627417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164832833948176 + 91683899679241 = 12838724^2 + 9575171^2 .

It is a cyclic number.

It is not a de Polignac number, because 256516733627417 - 2²⁴ = 256516716850201 is a prime.

It is not a weakly prime, because it can be changed into another prime (256516733627467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128258366813708 + 128258366813709.

It is an arithmetic number, because the mean of its divisors is an integer number (128258366813709).

Almost surely, 2^{256516733627417} is an apocalyptic number.

It is an amenable number.

256516733627417 is a deficient number, since it is larger than the sum of its proper divisors (1).

256516733627417 is an equidigital number, since it uses as much as digits as its factorization.

256516733627417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 266716800, while the sum is 65.

The spelling of 256516733627417 in words is "two hundred fifty-six trillion, five hundred sixteen billion, seven hundred thirty-three million, six hundred twenty-seven thousand, four hundred seventeen".