10597313 has 2 divisors, whose sum is σ = 10597314. Its totient is φ = 10597312.

The previous prime is 10597309. The next prime is 10597339. The reversal of 10597313 is 31379501.

10597313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6880129 + 3717184 = 2623^2 + 1928^2 .

It is a cyclic number.

It is not a de Polignac number, because 10597313 - 2² = 10597309 is a prime.

It is a super-2 number, since 2×10597313² = 224606085639938, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10597913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5298656 + 5298657.

It is an arithmetic number, because the mean of its divisors is an integer number (5298657).

Almost surely, 2^10597313 is an apocalyptic number.

It is an amenable number.

10597313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10597313 is an equidigital number, since it uses as much as digits as its factorization.

10597313 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 29.

The square root of 10597313 is about 3255.3514403210. The cubic root of 10597313 is about 219.6503606009.

The spelling of 10597313 in words is "ten million, five hundred ninety-seven thousand, three hundred thirteen".