9638042517 has 12 divisors (see below), whose sum is σ = 14149841004. Its totient is φ = 6320027520.

The previous prime is 9638042473. The next prime is 9638042549. The reversal of 9638042517 is 7152408369.

9638042517 is a `hidden beast` number, since 9 + 638 + 0 + 4 + 2 + 5 + 1 + 7 = 666.

9638042517 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1549918161 + 8088124356 = 39369^2 + 89934^2 .

It is not a de Polignac number, because 9638042517 - 2¹⁰ = 9638041493 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

9638042517 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9638042017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8777268 + ... + 8778365.

It is an arithmetic number, because the mean of its divisors is an integer number (1179153417).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9638042517 = 19276085034, but 3⋅9638042517 = 28914127551 is not.

Almost surely, 2^9638042517 is an apocalyptic number.

It is an amenable number.

9638042517 is a deficient number, since it is larger than the sum of its proper divisors (4511798487).

9638042517 is a wasteful number, since it uses less digits than its factorization.

9638042517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17555700 (or 17555697 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9638042517 is about 98173.5326704708. The cubic root of 9638042517 is about 2128.1208136514.

The spelling of 9638042517 in words is "nine billion, six hundred thirty-eight million, forty-two thousand, five hundred seventeen".