165165005117 has 16 divisors (see below), whose sum is σ = 198879283200. Its totient is φ = 134100066672.

The previous prime is 165165005111. The next prime is 165165005147. The reversal of 165165005117 is 711500561561.

It is a cyclic number.

It is not a de Polignac number, because 165165005117 - 2⁸ = 165165004861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165165005111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4963367 + ... + 4996532.

It is an arithmetic number, because the mean of its divisors is an integer number (12429955200).

Almost surely, 2^165165005117 is an apocalyptic number.

It is an amenable number.

165165005117 is a deficient number, since it is larger than the sum of its proper divisors (33714278083).

165165005117 is a wasteful number, since it uses less digits than its factorization.

165165005117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960032.

The product of its (nonzero) digits is 31500, while the sum is 38.

Adding to 165165005117 its reverse (711500561561), we get a palindrome (876665566678).

The spelling of 165165005117 in words is "one hundred sixty-five billion, one hundred sixty-five million, five thousand, one hundred seventeen".