10138765817 has 2 divisors, whose sum is σ = 10138765818. Its totient is φ = 10138765816.

The previous prime is 10138765801. The next prime is 10138765837. The reversal of 10138765817 is 71856783101.

10138765817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9175532521 + 963233296 = 95789^2 + 31036^2 .

It is an emirp because it is prime and its reverse (71856783101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10138765817 - 2⁴ = 10138765801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10138765837) 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, 5069382908 + 5069382909.

It is an arithmetic number, because the mean of its divisors is an integer number (5069382909).

Almost surely, 2^10138765817 is an apocalyptic number.

It is an amenable number.

10138765817 is a deficient number, since it is larger than the sum of its proper divisors (1).

10138765817 is an equidigital number, since it uses as much as digits as its factorization.

10138765817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 282240, while the sum is 47.

The spelling of 10138765817 in words is "ten billion, one hundred thirty-eight million, seven hundred sixty-five thousand, eight hundred seventeen".