3417713020457 has 2 divisors, whose sum is σ = 3417713020458. Its totient is φ = 3417713020456.

The previous prime is 3417713020453. The next prime is 3417713020459. The reversal of 3417713020457 is 7540203177143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2791492442176 + 626220578281 = 1670776^2 + 791341^2 .

It is a cyclic number.

It is not a de Polignac number, because 3417713020457 - 2² = 3417713020453 is a prime.

Together with 3417713020459, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3417713020453) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1708856510228 + 1708856510229.

It is an arithmetic number, because the mean of its divisors is an integer number (1708856510229).

Almost surely, 2^{3417713020457} is an apocalyptic number.

It is an amenable number.

3417713020457 is a deficient number, since it is larger than the sum of its proper divisors (1).

3417713020457 is an equidigital number, since it uses as much as digits as its factorization.

3417713020457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 493920, while the sum is 44.

The spelling of 3417713020457 in words is "three trillion, four hundred seventeen billion, seven hundred thirteen million, twenty thousand, four hundred fifty-seven".