2605166983717 has 2 divisors, whose sum is σ = 2605166983718. Its totient is φ = 2605166983716.

The previous prime is 2605166983693. The next prime is 2605166983787. The reversal of 2605166983717 is 7173896615062.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2045354765281 + 559812218436 = 1430159^2 + 748206^2 .

It is a cyclic number.

It is not a de Polignac number, because 2605166983717 - 2³⁹ = 2055411169829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2605166983787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1302583491858 + 1302583491859.

It is an arithmetic number, because the mean of its divisors is an integer number (1302583491859).

Almost surely, 2^{2605166983717} is an apocalyptic number.

It is an amenable number.

2605166983717 is a deficient number, since it is larger than the sum of its proper divisors (1).

2605166983717 is an equidigital number, since it uses as much as digits as its factorization.

2605166983717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 2605166983717 in words is "two trillion, six hundred five billion, one hundred sixty-six million, nine hundred eighty-three thousand, seven hundred seventeen".