135065309 has 2 divisors, whose sum is σ = 135065310. Its totient is φ = 135065308.

The previous prime is 135065303. The next prime is 135065311. The reversal of 135065309 is 903560531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88416409 + 46648900 = 9403^2 + 6830^2 .

It is an emirp because it is prime and its reverse (903560531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135065309 - 2²⁰ = 134016733 is a prime.

Together with 135065311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135065303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67532654 + 67532655.

It is an arithmetic number, because the mean of its divisors is an integer number (67532655).

Almost surely, 2^135065309 is an apocalyptic number.

It is an amenable number.

135065309 is a deficient number, since it is larger than the sum of its proper divisors (1).

135065309 is an equidigital number, since it uses as much as digits as its factorization.

135065309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12150, while the sum is 32.

The square root of 135065309 is about 11621.7601506829. The cubic root of 135065309 is about 513.0754942366.

The spelling of 135065309 in words is "one hundred thirty-five million, sixty-five thousand, three hundred nine".