305323313 has 2 divisors, whose sum is σ = 305323314. Its totient is φ = 305323312.

The previous prime is 305323259. The next prime is 305323363. The reversal of 305323313 is 313323503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289578289 + 15745024 = 17017^2 + 3968^2 .

It is a cyclic number.

It is not a de Polignac number, because 305323313 - 2¹⁰ = 305322289 is a prime.

It is a super-2 number, since 2×305323313² = 186444650922591938, which contains 22 as substring.

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 (305323363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152661656 + 152661657.

It is an arithmetic number, because the mean of its divisors is an integer number (152661657).

Almost surely, 2^305323313 is an apocalyptic number.

It is an amenable number.

305323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

305323313 is an equidigital number, since it uses as much as digits as its factorization.

305323313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2430, while the sum is 23.

The square root of 305323313 is about 17473.5031690843. The cubic root of 305323313 is about 673.3693151103.

Adding to 305323313 its reverse (313323503), we get a palindrome (618646816).

The spelling of 305323313 in words is "three hundred five million, three hundred twenty-three thousand, three hundred thirteen".