10007006917 has 2 divisors, whose sum is σ = 10007006918. Its totient is φ = 10007006916.

The previous prime is 10007006909. The next prime is 10007006923. The reversal of 10007006917 is 71960070001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9993800961 + 13205956 = 99969^2 + 3634^2 .

It is a cyclic number.

It is not a de Polignac number, because 10007006917 - 2³ = 10007006909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10007306917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5003503458 + 5003503459.

It is an arithmetic number, because the mean of its divisors is an integer number (5003503459).

Almost surely, 2^10007006917 is an apocalyptic number.

It is an amenable number.

10007006917 is a deficient number, since it is larger than the sum of its proper divisors (1).

10007006917 is an equidigital number, since it uses as much as digits as its factorization.

10007006917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2646, while the sum is 31.

Adding to 10007006917 its reverse (71960070001), we get a palindrome (81967076918).

The spelling of 10007006917 in words is "ten billion, seven million, six thousand, nine hundred seventeen".