7905256491217 has 2 divisors, whose sum is σ = 7905256491218. Its totient is φ = 7905256491216.

The previous prime is 7905256491157. The next prime is 7905256491229. The reversal of 7905256491217 is 7121946525097.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6205260353296 + 1699996137921 = 2491036^2 + 1303839^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7905256491217 is a prime.

It is not a weakly prime, because it can be changed into another prime (7905256491277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3952628245608 + 3952628245609.

It is an arithmetic number, because the mean of its divisors is an integer number (3952628245609).

Almost surely, 2^{7905256491217} is an apocalyptic number.

It is an amenable number.

7905256491217 is a deficient number, since it is larger than the sum of its proper divisors (1).

7905256491217 is an equidigital number, since it uses as much as digits as its factorization.

7905256491217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 7905256491217 in words is "seven trillion, nine hundred five billion, two hundred fifty-six million, four hundred ninety-one thousand, two hundred seventeen".