10624642313 has 2 divisors, whose sum is σ = 10624642314. Its totient is φ = 10624642312.

The previous prime is 10624642309. The next prime is 10624642331. The reversal of 10624642313 is 31324642601.

Together with next prime (10624642331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10565167369 + 59474944 = 102787^2 + 7712^2 .

It is a cyclic number.

It is not a de Polignac number, because 10624642313 - 2² = 10624642309 is a prime.

It is a super-2 number, since 2×10624642313² (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10624642313.

It is not a weakly prime, because it can be changed into another prime (10624642363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5312321156 + 5312321157.

It is an arithmetic number, because the mean of its divisors is an integer number (5312321157).

Almost surely, 2^10624642313 is an apocalyptic number.

It is an amenable number.

10624642313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10624642313 is an equidigital number, since it uses as much as digits as its factorization.

10624642313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 10624642313 in words is "ten billion, six hundred twenty-four million, six hundred forty-two thousand, three hundred thirteen".