7638617813 has 2 divisors, whose sum is σ = 7638617814. Its totient is φ = 7638617812.

The previous prime is 7638617689. The next prime is 7638617843. The reversal of 7638617813 is 3187168367.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7635788689 + 2829124 = 87383^2 + 1682^2 .

It is an emirp because it is prime and its reverse (3187168367) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7638617813 - 2³² = 3343650517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7638617843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3819308906 + 3819308907.

It is an arithmetic number, because the mean of its divisors is an integer number (3819308907).

Almost surely, 2^7638617813 is an apocalyptic number.

It is an amenable number.

7638617813 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638617813 is an equidigital number, since it uses as much as digits as its factorization.

7638617813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1016064, while the sum is 50.

The square root of 7638617813 is about 87399.1865694413. The cubic root of 7638617813 is about 1969.4196210907.

The spelling of 7638617813 in words is "seven billion, six hundred thirty-eight million, six hundred seventeen thousand, eight hundred thirteen".