18517601900873 has 2 divisors, whose sum is σ = 18517601900874. Its totient is φ = 18517601900872.

The previous prime is 18517601900851. The next prime is 18517601900951. The reversal of 18517601900873 is 37800910671581.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9334295923264 + 9183305977609 = 3055208^2 + 3030397^2 .

It is an emirp because it is prime and its reverse (37800910671581) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18517601900873 - 2³⁰ = 18516528159049 is a prime.

It is not a weakly prime, because it can be changed into another prime (18517601900843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9258800950436 + 9258800950437.

It is an arithmetic number, because the mean of its divisors is an integer number (9258800950437).

Almost surely, 2^{18517601900873} is an apocalyptic number.

It is an amenable number.

18517601900873 is a deficient number, since it is larger than the sum of its proper divisors (1).

18517601900873 is an equidigital number, since it uses as much as digits as its factorization.

18517601900873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2540160, while the sum is 56.

The spelling of 18517601900873 in words is "eighteen trillion, five hundred seventeen billion, six hundred one million, nine hundred thousand, eight hundred seventy-three".