165105013 has 4 divisors (see below), whose sum is σ = 165162348. Its totient is φ = 165047680.

The previous prime is 165104999. The next prime is 165105043. The reversal of 165105013 is 310501561.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 310501561 = 1627 ⋅190843.

It can be written as a sum of positive squares in 2 ways, for example, as 164019249 + 1085764 = 12807^2 + 1042^2 .

It is a cyclic number.

It is not a de Polignac number, because 165105013 - 2⁹ = 165104501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165105043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24106 + ... + 30187.

It is an arithmetic number, because the mean of its divisors is an integer number (41290587).

Almost surely, 2^165105013 is an apocalyptic number.

It is an amenable number.

165105013 is a deficient number, since it is larger than the sum of its proper divisors (57335).

165105013 is an equidigital number, since it uses as much as digits as its factorization.

165105013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57334.

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 165105013 is about 12849.3195539686. The cubic root of 165105013 is about 548.5969893527.

Adding to 165105013 its reverse (310501561), we get a palindrome (475606574).

The spelling of 165105013 in words is "one hundred sixty-five million, one hundred five thousand, thirteen".