3417456097193 has 2 divisors, whose sum is σ = 3417456097194. Its totient is φ = 3417456097192.

The previous prime is 3417456097177. The next prime is 3417456097309. The reversal of 3417456097193 is 3917906547143.

3417456097193 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., 2338905305104 + 1078550792089 = 1529348^2 + 1038533^2 .

It is a cyclic number.

It is not a de Polignac number, because 3417456097193 - 2⁴ = 3417456097177 is a prime.

It is a super-2 number, since 2×3417456097193² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3417456094193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1708728048596 + 1708728048597.

It is an arithmetic number, because the mean of its divisors is an integer number (1708728048597).

Almost surely, 2^{3417456097193} is an apocalyptic number.

It is an amenable number.

3417456097193 is a deficient number, since it is larger than the sum of its proper divisors (1).

3417456097193 is an equidigital number, since it uses as much as digits as its factorization.

3417456097193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 59.

The spelling of 3417456097193 in words is "three trillion, four hundred seventeen billion, four hundred fifty-six million, ninety-seven thousand, one hundred ninety-three".