165123305523 has 96 divisors (see below), whose sum is σ = 285626165760. Its totient is φ = 90740321280.

The previous prime is 165123305509. The next prime is 165123305563. The reversal of 165123305523 is 325503321561.

165123305523 is a `hidden beast` number, since 1 + 6 + 5 + 123 + 3 + 0 + 5 + 523 = 666.

It is not a de Polignac number, because 165123305523 - 2⁴ = 165123305507 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165123305563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23765536 + ... + 23772482.

It is an arithmetic number, because the mean of its divisors is an integer number (2975272560).

Almost surely, 2^165123305523 is an apocalyptic number.

165123305523 is a deficient number, since it is larger than the sum of its proper divisors (120502860237).

165123305523 is a wasteful number, since it uses less digits than its factorization.

165123305523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7497 (or 7494 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 165123305523 in words is "one hundred sixty-five billion, one hundred twenty-three million, three hundred five thousand, five hundred twenty-three".