165135013 has 2 divisors, whose sum is σ = 165135014. Its totient is φ = 165135012.

The previous prime is 165135011. The next prime is 165135029. The reversal of 165135013 is 310531561.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150258564 + 14876449 = 12258^2 + 3857^2 .

It is a cyclic number.

It is not a de Polignac number, because 165135013 - 2¹ = 165135011 is a prime.

Together with 165135011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165135011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82567506 + 82567507.

It is an arithmetic number, because the mean of its divisors is an integer number (82567507).

Almost surely, 2^165135013 is an apocalyptic number.

It is an amenable number.

165135013 is a deficient number, since it is larger than the sum of its proper divisors (1).

165135013 is an equidigital number, since it uses as much as digits as its factorization.

165135013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 165135013 is about 12850.4868779358. The cubic root of 165135013 is about 548.6302144957.

Adding to 165135013 its reverse (310531561), we get a palindrome (475666574).

The spelling of 165135013 in words is "one hundred sixty-five million, one hundred thirty-five thousand, thirteen".