165360013 has 16 divisors (see below), whose sum is σ = 204270976. Its totient is φ = 130351680.

The previous prime is 165359989. The next prime is 165360017. The reversal of 165360013 is 310063561.

It is a cyclic number.

It is not a de Polignac number, because 165360013 - 2¹³ = 165351821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165360013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165360017) 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, 22543 + ... + 28963.

It is an arithmetic number, because the mean of its divisors is an integer number (12766936).

Almost surely, 2^165360013 is an apocalyptic number.

165360013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

165360013 is a deficient number, since it is larger than the sum of its proper divisors (38910963).

165360013 is a wasteful number, since it uses less digits than its factorization.

165360013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 165360013 is about 12859.2384300160. The cubic root of 165360013 is about 548.8792748945.

The spelling of 165360013 in words is "one hundred sixty-five million, three hundred sixty thousand, thirteen".