10634592313 has 2 divisors, whose sum is σ = 10634592314. Its totient is φ = 10634592312.

The previous prime is 10634592247. The next prime is 10634592323. The reversal of 10634592313 is 31329543601.

10634592313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10170319104 + 464273209 = 100848^2 + 21547^2 .

It is a cyclic number.

It is not a de Polignac number, because 10634592313 - 2²¹ = 10632495161 is a prime.

It is a super-2 number, since 2×10634592313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10634592323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317296156 + 5317296157.

It is an arithmetic number, because the mean of its divisors is an integer number (5317296157).

Almost surely, 2^10634592313 is an apocalyptic number.

It is an amenable number.

10634592313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10634592313 is an equidigital number, since it uses as much as digits as its factorization.

10634592313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 10634592313 in words is "ten billion, six hundred thirty-four million, five hundred ninety-two thousand, three hundred thirteen".