165013813 has 2 divisors, whose sum is σ = 165013814. Its totient is φ = 165013812.

The previous prime is 165013769. The next prime is 165013817. The reversal of 165013813 is 318310561.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116251524 + 48762289 = 10782^2 + 6983^2 .

It is a cyclic number.

It is not a de Polignac number, because 165013813 - 2²⁵ = 131459381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165013817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82506906 + 82506907.

It is an arithmetic number, because the mean of its divisors is an integer number (82506907).

Almost surely, 2^165013813 is an apocalyptic number.

It is an amenable number.

165013813 is a deficient number, since it is larger than the sum of its proper divisors (1).

165013813 is an equidigital number, since it uses as much as digits as its factorization.

165013813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 165013813 is about 12845.7702377086. The cubic root of 165013813 is about 548.4959601966.

The spelling of 165013813 in words is "one hundred sixty-five million, thirteen thousand, eight hundred thirteen".