2613638213 has 2 divisors, whose sum is σ = 2613638214. Its totient is φ = 2613638212.

The previous prime is 2613638207. The next prime is 2613638219. The reversal of 2613638213 is 3128363162.

2613638213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (2613638207) and next prime (2613638219).

It can be written as a sum of positive squares in only one way, i.e., 2613049924 + 588289 = 51118^2 + 767^2 .

It is a cyclic number.

It is not a de Polignac number, because 2613638213 - 2¹⁰ = 2613637189 is a prime.

It is a super-2 number, since 2×2613638213² = 13662209416907666738, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2613638219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1306819106 + 1306819107.

It is an arithmetic number, because the mean of its divisors is an integer number (1306819107).

Almost surely, 2^2613638213 is an apocalyptic number.

It is an amenable number.

2613638213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2613638213 is an equidigital number, since it uses as much as digits as its factorization.

2613638213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 31104, while the sum is 35.

The square root of 2613638213 is about 51123.7539016845. The cubic root of 2613638213 is about 1377.4689679802.

The spelling of 2613638213 in words is "two billion, six hundred thirteen million, six hundred thirty-eight thousand, two hundred thirteen".