2513305813 has 2 divisors, whose sum is σ = 2513305814. Its totient is φ = 2513305812.

The previous prime is 2513305801. The next prime is 2513305849. The reversal of 2513305813 is 3185033152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2334629124 + 178676689 = 48318^2 + 13367^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513305813 - 2¹³ = 2513297621 is a prime.

It is a super-2 number, since 2×2513305813² = 12633412219319181938, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513305853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256652906 + 1256652907.

It is an arithmetic number, because the mean of its divisors is an integer number (1256652907).

Almost surely, 2^2513305813 is an apocalyptic number.

It is an amenable number.

2513305813 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513305813 is an equidigital number, since it uses as much as digits as its factorization.

2513305813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 2513305813 is about 50132.8815549236. The cubic root of 2513305813 is about 1359.6123846698.

Adding to 2513305813 its reverse (3185033152), we get a palindrome (5698338965).

The spelling of 2513305813 in words is "two billion, five hundred thirteen million, three hundred five thousand, eight hundred thirteen".