516716617 has 2 divisors, whose sum is σ = 516716618. Its totient is φ = 516716616.

The previous prime is 516716593. The next prime is 516716623. The reversal of 516716617 is 716617615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 468982336 + 47734281 = 21656^2 + 6909^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-516716617 is a prime.

It is equal to p_27188860 and since 516716617 and 27188860 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 516716617.

It is not a weakly prime, because it can be changed into another prime (516716677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258358308 + 258358309.

It is an arithmetic number, because the mean of its divisors is an integer number (258358309).

Almost surely, 2^516716617 is an apocalyptic number.

It is an amenable number.

516716617 is a deficient number, since it is larger than the sum of its proper divisors (1).

516716617 is an equidigital number, since it uses as much as digits as its factorization.

516716617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 52920, while the sum is 40.

The square root of 516716617 is about 22731.4015625962. The cubic root of 516716617 is about 802.4490662963.

The spelling of 516716617 in words is "five hundred sixteen million, seven hundred sixteen thousand, six hundred seventeen".