7638005317 has 2 divisors, whose sum is σ = 7638005318. Its totient is φ = 7638005316.

The previous prime is 7638005281. The next prime is 7638005341. The reversal of 7638005317 is 7135008367.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6084936036 + 1553069281 = 78006^2 + 39409^2 .

It is a cyclic number.

It is not a de Polignac number, because 7638005317 - 2⁷ = 7638005189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7638005317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7638005357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3819002658 + 3819002659.

It is an arithmetic number, because the mean of its divisors is an integer number (3819002659).

Almost surely, 2^7638005317 is an apocalyptic number.

It is an amenable number.

7638005317 is a deficient number, since it is larger than the sum of its proper divisors (1).

7638005317 is an equidigital number, since it uses as much as digits as its factorization.

7638005317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 7638005317 is about 87395.6824848917. The cubic root of 7638005317 is about 1969.3669809442.

The spelling of 7638005317 in words is "seven billion, six hundred thirty-eight million, five thousand, three hundred seventeen".