5205513013 has 2 divisors, whose sum is σ = 5205513014. Its totient is φ = 5205513012.

The previous prime is 5205513007. The next prime is 5205513023. The reversal of 5205513013 is 3103155025.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3389219089 + 1816293924 = 58217^2 + 42618^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205513013 - 2²⁹ = 4668642101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5205513023) 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, 2602756506 + 2602756507.

It is an arithmetic number, because the mean of its divisors is an integer number (2602756507).

Almost surely, 2^5205513013 is an apocalyptic number.

It is an amenable number.

5205513013 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205513013 is an equidigital number, since it uses as much as digits as its factorization.

5205513013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 5205513013 is about 72149.2412503416. The cubic root of 5205513013 is about 1733.0902492405.

Adding to 5205513013 its reverse (3103155025), we get a palindrome (8308668038).

The spelling of 5205513013 in words is "five billion, two hundred five million, five hundred thirteen thousand, thirteen".