309509117 has 2 divisors, whose sum is σ = 309509118. Its totient is φ = 309509116.

The previous prime is 309509077. The next prime is 309509131. The reversal of 309509117 is 711905903.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173343556 + 136165561 = 13166^2 + 11669^2 .

It is an emirp because it is prime and its reverse (711905903) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 309509117 - 2²⁰ = 308460541 is a prime.

It is a super-2 number, since 2×309509117² = 191591787012239378, which contains 22 as substring.

It is a Chen prime.

It is equal to p_16739414 and since 309509117 and 16739414 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (309529117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 154754558 + 154754559.

It is an arithmetic number, because the mean of its divisors is an integer number (154754559).

Almost surely, 2^309509117 is an apocalyptic number.

It is an amenable number.

309509117 is a deficient number, since it is larger than the sum of its proper divisors (1).

309509117 is an equidigital number, since it uses as much as digits as its factorization.

309509117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 35.

The square root of 309509117 is about 17592.8711983007. The cubic root of 309509117 is about 676.4325256498.

The spelling of 309509117 in words is "three hundred nine million, five hundred nine thousand, one hundred seventeen".