305314313 has 2 divisors, whose sum is σ = 305314314. Its totient is φ = 305314312.

The previous prime is 305314283. The next prime is 305314327. The reversal of 305314313 is 313413503.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279993289 + 25321024 = 16733^2 + 5032^2 .

It is a cyclic number.

It is not a de Polignac number, because 305314313 - 2¹⁰ = 305313289 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (305314013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152657156 + 152657157.

It is an arithmetic number, because the mean of its divisors is an integer number (152657157).

Almost surely, 2^305314313 is an apocalyptic number.

It is an amenable number.

305314313 is a deficient number, since it is larger than the sum of its proper divisors (1).

305314313 is an equidigital number, since it uses as much as digits as its factorization.

305314313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 305314313 is about 17473.2456343977. The cubic root of 305314313 is about 673.3626987542.

Adding to 305314313 its reverse (313413503), we get a palindrome (618727816).

The spelling of 305314313 in words is "three hundred five million, three hundred fourteen thousand, three hundred thirteen".