5210205442313 has 2 divisors, whose sum is σ = 5210205442314. Its totient is φ = 5210205442312.

The previous prime is 5210205442297. The next prime is 5210205442319. The reversal of 5210205442313 is 3132445020125.

5210205442313 is digitally balanced in base 3, 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., 3153597050569 + 2056608391744 = 1775837^2 + 1434088^2 .

It is a cyclic number.

It is not a de Polignac number, because 5210205442313 - 2⁴ = 5210205442297 is a prime.

It is a super-2 number, since 2×5210205442313² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5210205442313.

It is not a weakly prime, because it can be changed into another prime (5210205442319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2605102721156 + 2605102721157.

It is an arithmetic number, because the mean of its divisors is an integer number (2605102721157).

Almost surely, 2^{5210205442313} is an apocalyptic number.

It is an amenable number.

5210205442313 is a deficient number, since it is larger than the sum of its proper divisors (1).

5210205442313 is an equidigital number, since it uses as much as digits as its factorization.

5210205442313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 5210205442313 in words is "five trillion, two hundred ten billion, two hundred five million, four hundred forty-two thousand, three hundred thirteen".