516310605021017 has 2 divisors, whose sum is σ = 516310605021018. Its totient is φ = 516310605021016.

The previous prime is 516310605021007. The next prime is 516310605021083. The reversal of 516310605021017 is 710120506013615.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 502694918297881 + 13615686723136 = 22420859^2 + 3689944^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-516310605021017 is a prime.

It is not a weakly prime, because it can be changed into another prime (516310605021007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258155302510508 + 258155302510509.

It is an arithmetic number, because the mean of its divisors is an integer number (258155302510509).

Almost surely, 2^{516310605021017} is an apocalyptic number.

It is an amenable number.

516310605021017 is a deficient number, since it is larger than the sum of its proper divisors (1).

516310605021017 is an equidigital number, since it uses as much as digits as its factorization.

516310605021017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 516310605021017 in words is "five hundred sixteen trillion, three hundred ten billion, six hundred five million, twenty-one thousand, seventeen".