5105700013 has 2 divisors, whose sum is σ = 5105700014. Its totient is φ = 5105700012.

The previous prime is 5105700001. The next prime is 5105700079. The reversal of 5105700013 is 3100075015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4604029609 + 501670404 = 67853^2 + 22398^2 .

It is a cyclic number.

It is not a de Polignac number, because 5105700013 - 2²⁵ = 5072145581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5105700913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2552850006 + 2552850007.

It is an arithmetic number, because the mean of its divisors is an integer number (2552850007).

Almost surely, 2^5105700013 is an apocalyptic number.

It is an amenable number.

5105700013 is a deficient number, since it is larger than the sum of its proper divisors (1).

5105700013 is an equidigital number, since it uses as much as digits as its factorization.

5105700013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 5105700013 is about 71454.1812142579. The cubic root of 5105700013 is about 1721.9416522906.

Adding to 5105700013 its reverse (3100075015), we get a palindrome (8205775028).

The spelling of 5105700013 in words is "five billion, one hundred five million, seven hundred thousand, thirteen".