11172165065717 has 2 divisors, whose sum is σ = 11172165065718. Its totient is φ = 11172165065716.

The previous prime is 11172165065683. The next prime is 11172165065741. The reversal of 11172165065717 is 71756056127111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9453866181796 + 1718298883921 = 3074714^2 + 1310839^2 .

It is a cyclic number.

It is not a de Polignac number, because 11172165065717 - 2²⁸ = 11171896630261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11172165065767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5586082532858 + 5586082532859.

It is an arithmetic number, because the mean of its divisors is an integer number (5586082532859).

Almost surely, 2^{11172165065717} is an apocalyptic number.

It is an amenable number.

11172165065717 is a deficient number, since it is larger than the sum of its proper divisors (1).

11172165065717 is an equidigital number, since it uses as much as digits as its factorization.

11172165065717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 617400, while the sum is 50.

The spelling of 11172165065717 in words is "eleven trillion, one hundred seventy-two billion, one hundred sixty-five million, sixty-five thousand, seven hundred seventeen".