165040555507553 has 32 divisors (see below), whose sum is σ = 183129620204160. Its totient is φ = 147469360896000.

The previous prime is 165040555507537. The next prime is 165040555507577. The reversal of 165040555507553 is 355705555040561.

It is not a de Polignac number, because 165040555507553 - 2⁴ = 165040555507537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165040558507553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5515862033 + ... + 5515891953.

It is an arithmetic number, because the mean of its divisors is an integer number (5722800631380).

Almost surely, 2^{165040555507553} is an apocalyptic number.

It is an amenable number.

165040555507553 is a deficient number, since it is larger than the sum of its proper divisors (18089064696607).

165040555507553 is a wasteful number, since it uses less digits than its factorization.

165040555507553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35729.

The product of its (nonzero) digits is 39375000, while the sum is 56.

The spelling of 165040555507553 in words is "one hundred sixty-five trillion, forty billion, five hundred fifty-five million, five hundred seven thousand, five hundred fifty-three".