165316513 has 2 divisors, whose sum is σ = 165316514. Its totient is φ = 165316512.

The previous prime is 165316507. The next prime is 165316519. The reversal of 165316513 is 315613561.

165316513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (165316507) and next prime (165316519).

It can be written as a sum of positive squares in only one way, i.e., 137522529 + 27793984 = 11727^2 + 5272^2 .

It is an emirp because it is prime and its reverse (315613561) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 165316513 - 2¹³ = 165308321 is a prime.

It is not a weakly prime, because it can be changed into another prime (165316519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82658256 + 82658257.

It is an arithmetic number, because the mean of its divisors is an integer number (82658257).

Almost surely, 2^165316513 is an apocalyptic number.

It is an amenable number.

165316513 is a deficient number, since it is larger than the sum of its proper divisors (1).

165316513 is an equidigital number, since it uses as much as digits as its factorization.

165316513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8100, while the sum is 31.

The square root of 165316513 is about 12857.5469277775. The cubic root of 165316513 is about 548.8311408425.

The spelling of 165316513 in words is "one hundred sixty-five million, three hundred sixteen thousand, five hundred thirteen".