165585382129 has 8 divisors (see below), whose sum is σ = 170380032552. Its totient is φ = 160852598400.

The previous prime is 165585382111. The next prime is 165585382169. The reversal of 165585382129 is 921283585561.

165585382129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 87171381504 + 78414000625 = 295248^2 + 280025^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 165585382129 - 2²³ = 165576993521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 165585382129.

It is not an unprimeable number, because it can be changed into a prime (165585382169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15461244 + ... + 15471949.

It is an arithmetic number, because the mean of its divisors is an integer number (21297504069).

Almost surely, 2^165585382129 is an apocalyptic number.

It is an amenable number.

165585382129 is a deficient number, since it is larger than the sum of its proper divisors (4794650423).

165585382129 is a wasteful number, since it uses less digits than its factorization.

165585382129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30933347.

The product of its digits is 5184000, while the sum is 55.

The spelling of 165585382129 in words is "one hundred sixty-five billion, five hundred eighty-five million, three hundred eighty-two thousand, one hundred twenty-nine".