2613257113 has 2 divisors, whose sum is σ = 2613257114. Its totient is φ = 2613257112.

The previous prime is 2613257083. The next prime is 2613257117. The reversal of 2613257113 is 3117523162.

It is a happy number.

2613257113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1474329609 + 1138927504 = 38397^2 + 33748^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613257113 - 2²⁹ = 2076386201 is a prime.

It is a super-2 number, since 2×2613257113² = 13658225477290189538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2613257117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306628556 + 1306628557.

It is an arithmetic number, because the mean of its divisors is an integer number (1306628557).

Almost surely, 2^2613257113 is an apocalyptic number.

It is an amenable number.

2613257113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613257113 is an equidigital number, since it uses as much as digits as its factorization.

2613257113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 7560, while the sum is 31.

The square root of 2613257113 is about 51120.0265355956. The cubic root of 2613257113 is about 1377.4020141917.

The spelling of 2613257113 in words is "two billion, six hundred thirteen million, two hundred fifty-seven thousand, one hundred thirteen".