2613516313 has 2 divisors, whose sum is σ = 2613516314. Its totient is φ = 2613516312.

The previous prime is 2613516293. The next prime is 2613516317. The reversal of 2613516313 is 3136153162.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2545404304 + 68112009 = 50452^2 + 8253^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613516313 - 2⁵ = 2613516281 is a prime.

It is a super-2 number, since 2×2613516313² = 13660935036634227938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2613516317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306758156 + 1306758157.

It is an arithmetic number, because the mean of its divisors is an integer number (1306758157).

Almost surely, 2^2613516313 is an apocalyptic number.

It is an amenable number.

2613516313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613516313 is an equidigital number, since it uses as much as digits as its factorization.

2613516313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 31.

The square root of 2613516313 is about 51122.5616826857. The cubic root of 2613516313 is about 1377.4475526115.

Adding to 2613516313 its reverse (3136153162), we get a palindrome (5749669475).

The spelling of 2613516313 in words is "two billion, six hundred thirteen million, five hundred sixteen thousand, three hundred thirteen".