307513313 has 2 divisors, whose sum is σ = 307513314. Its totient is φ = 307513312.

The previous prime is 307513279. The next prime is 307513319. The reversal of 307513313 is 313315703.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293882449 + 13630864 = 17143^2 + 3692^2 .

It is a cyclic number.

It is not a de Polignac number, because 307513313 - 2⁶ = 307513249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (307513319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 153756656 + 153756657.

It is an arithmetic number, because the mean of its divisors is an integer number (153756657).

Almost surely, 2^307513313 is an apocalyptic number.

It is an amenable number.

307513313 is a deficient number, since it is larger than the sum of its proper divisors (1).

307513313 is an equidigital number, since it uses as much as digits as its factorization.

307513313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The square root of 307513313 is about 17536.0575101703. The cubic root of 307513313 is about 674.9754452888.

The spelling of 307513313 in words is "three hundred seven million, five hundred thirteen thousand, three hundred thirteen".