5205082013 has 2 divisors, whose sum is σ = 5205082014. Its totient is φ = 5205082012.

The previous prime is 5205081991. The next prime is 5205082019. The reversal of 5205082013 is 3102805025.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2870066329 + 2335015684 = 53573^2 + 48322^2 .

It is a cyclic number.

It is not a de Polignac number, because 5205082013 - 2⁶ = 5205081949 is a prime.

It is a super-2 number, since 2×5205082013² = 54185757524112264338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5205082019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2602541006 + 2602541007.

It is an arithmetic number, because the mean of its divisors is an integer number (2602541007).

Almost surely, 2^5205082013 is an apocalyptic number.

It is an amenable number.

5205082013 is a deficient number, since it is larger than the sum of its proper divisors (1).

5205082013 is an equidigital number, since it uses as much as digits as its factorization.

5205082013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5205082013 is about 72146.2543241158. The cubic root of 5205082013 is about 1733.0424164581.

Adding to 5205082013 its reverse (3102805025), we get a palindrome (8307887038).

The spelling of 5205082013 in words is "five billion, two hundred five million, eighty-two thousand, thirteen".