517138565857973 has 2 divisors, whose sum is σ = 517138565857974. Its totient is φ = 517138565857972.

The previous prime is 517138565857919. The next prime is 517138565857987. The reversal of 517138565857973 is 379758565831715.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497025690929329 + 20112874928644 = 22294073^2 + 4484738^2 .

It is a cyclic number.

It is not a de Polignac number, because 517138565857973 - 2⁸ = 517138565857717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (517138565257973) 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, 258569282928986 + 258569282928987.

It is an arithmetic number, because the mean of its divisors is an integer number (258569282928987).

Almost surely, 2^{517138565857973} is an apocalyptic number.

It is an amenable number.

517138565857973 is a deficient number, since it is larger than the sum of its proper divisors (1).

517138565857973 is an equidigital number, since it uses as much as digits as its factorization.

517138565857973 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6667920000, while the sum is 80.

The spelling of 517138565857973 in words is "five hundred seventeen trillion, one hundred thirty-eight billion, five hundred sixty-five million, eight hundred fifty-seven thousand, nine hundred seventy-three".