2305713313 has 2 divisors, whose sum is σ = 2305713314. Its totient is φ = 2305713312.

The previous prime is 2305713307. The next prime is 2305713337. The reversal of 2305713313 is 3133175032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1979983009 + 325730304 = 44497^2 + 18048^2 .

It is a cyclic number.

It is not a de Polignac number, because 2305713313 - 2¹⁷ = 2305582241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2305713343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1152856656 + 1152856657.

It is an arithmetic number, because the mean of its divisors is an integer number (1152856657).

Almost surely, 2^2305713313 is an apocalyptic number.

It is an amenable number.

2305713313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2305713313 is an equidigital number, since it uses as much as digits as its factorization.

2305713313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5670, while the sum is 28.

The square root of 2305713313 is about 48017.8436937770. The cubic root of 2305713313 is about 1321.0982047183.

Adding to 2305713313 its reverse (3133175032), we get a palindrome (5438888345).

The spelling of 2305713313 in words is "two billion, three hundred five million, seven hundred thirteen thousand, three hundred thirteen".