165500052165 has 36 divisors (see below), whose sum is σ = 333702150444. Its totient is φ = 75657165696.

The previous prime is 165500052161. The next prime is 165500052173. The reversal of 165500052165 is 561250005561.

It can be written as a sum of positive squares in 2 ways, for example, as 110831065569 + 54668986596 = 332913^2 + 233814^2 .

It is not a de Polignac number, because 165500052165 - 2² = 165500052161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165500052161) 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, 37526152 + ... + 37530561.

It is an arithmetic number, because the mean of its divisors is an integer number (9269504179).

Almost surely, 2^165500052165 is an apocalyptic number.

165500052165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165500052165 is an abundant number, since it is smaller than the sum of its proper divisors (168202098279).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165500052165 is a wasteful number, since it uses less digits than its factorization.

165500052165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75056738 (or 75056728 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 165500052165 in words is "one hundred sixty-five billion, five hundred million, fifty-two thousand, one hundred sixty-five".