1617170085593 has 2 divisors, whose sum is σ = 1617170085594. Its totient is φ = 1617170085592.

The previous prime is 1617170085491. The next prime is 1617170085613. The reversal of 1617170085593 is 3955800717161.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1121148498649 + 496021586944 = 1058843^2 + 704288^2 .

It is a cyclic number.

It is not a de Polignac number, because 1617170085593 - 2³⁰ = 1616096343769 is a prime.

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 (1617170075593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 808585042796 + 808585042797.

It is an arithmetic number, because the mean of its divisors is an integer number (808585042797).

Almost surely, 2^{1617170085593} is an apocalyptic number.

It is an amenable number.

1617170085593 is a deficient number, since it is larger than the sum of its proper divisors (1).

1617170085593 is an equidigital number, since it uses as much as digits as its factorization.

1617170085593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1587600, while the sum is 53.

The spelling of 1617170085593 in words is "one trillion, six hundred seventeen billion, one hundred seventy million, eighty-five thousand, five hundred ninety-three".