2513274013 has 2 divisors, whose sum is σ = 2513274014. Its totient is φ = 2513274012.

The previous prime is 2513273989. The next prime is 2513274079. The reversal of 2513274013 is 3104723152.

2513274013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1628687449 + 884586564 = 40357^2 + 29742^2 .

It is a cyclic number.

It is not a de Polignac number, because 2513274013 - 2⁹ = 2513273501 is a prime.

It is a super-2 number, since 2×2513274013² = 12633092528842248338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2513278013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1256637006 + 1256637007.

It is an arithmetic number, because the mean of its divisors is an integer number (1256637007).

Almost surely, 2^2513274013 is an apocalyptic number.

It is an amenable number.

2513274013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2513274013 is an equidigital number, since it uses as much as digits as its factorization.

2513274013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2513274013 is about 50132.5643968070. The cubic root of 2513274013 is about 1359.6066504086.

Adding to 2513274013 its reverse (3104723152), we get a palindrome (5617997165).

The spelling of 2513274013 in words is "two billion, five hundred thirteen million, two hundred seventy-four thousand, thirteen".