13763889017 has 2 divisors, whose sum is σ = 13763889018. Its totient is φ = 13763889016.

The previous prime is 13763888987. The next prime is 13763889019. The reversal of 13763889017 is 71098836731.

13763889017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11190254656 + 2573634361 = 105784^2 + 50731^2 .

It is a cyclic number.

It is not a de Polignac number, because 13763889017 - 2⁶ = 13763888953 is a prime.

Together with 13763889019, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13763889017.

It is not a weakly prime, because it can be changed into another prime (13763889019) 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, 6881944508 + 6881944509.

It is an arithmetic number, because the mean of its divisors is an integer number (6881944509).

Almost surely, 2^13763889017 is an apocalyptic number.

It is an amenable number.

13763889017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763889017 is an equidigital number, since it uses as much as digits as its factorization.

13763889017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1524096, while the sum is 53.

The spelling of 13763889017 in words is "thirteen billion, seven hundred sixty-three million, eight hundred eighty-nine thousand, seventeen".