165765750090017 has 36 divisors (see below), whose sum is σ = 212283802351908. Its totient is φ = 128966603673600.

The previous prime is 165765750090007. The next prime is 165765750090067. The reversal of 165765750090017 is 710090057567561.

It can be written as a sum of positive squares in 2 ways, for example, as 119776411066081 + 45989339023936 = 10944241^2 + 6781544^2 .

It is not a de Polignac number, because 165765750090017 - 2²⁰ = 165765749041441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165765750090007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18007988 + ... + 25608965.

It is an arithmetic number, because the mean of its divisors is an integer number (5896772287553).

Almost surely, 2^{165765750090017} is an apocalyptic number.

It is an amenable number.

165765750090017 is a deficient number, since it is larger than the sum of its proper divisors (46518052261891).

165765750090017 is a wasteful number, since it uses less digits than its factorization.

165765750090017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43617630 (or 43617612 counting only the distinct ones).

The product of its (nonzero) digits is 13891500, while the sum is 59.

The spelling of 165765750090017 in words is "one hundred sixty-five trillion, seven hundred sixty-five billion, seven hundred fifty million, ninety thousand, seventeen".