516948217 has 2 divisors, whose sum is σ = 516948218. Its totient is φ = 516948216.

The previous prime is 516948197. The next prime is 516948233. The reversal of 516948217 is 712849615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 510940816 + 6007401 = 22604^2 + 2451^2 .

It is a cyclic number.

It is not a de Polignac number, because 516948217 - 2²³ = 508559609 is a prime.

It is not a weakly prime, because it can be changed into another prime (516948277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258474108 + 258474109.

It is an arithmetic number, because the mean of its divisors is an integer number (258474109).

Almost surely, 2^516948217 is an apocalyptic number.

It is an amenable number.

516948217 is a deficient number, since it is larger than the sum of its proper divisors (1).

516948217 is an equidigital number, since it uses as much as digits as its factorization.

516948217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 120960, while the sum is 43.

The square root of 516948217 is about 22736.4952664213. The cubic root of 516948217 is about 802.5689382197.

The spelling of 516948217 in words is "five hundred sixteen million, nine hundred forty-eight thousand, two hundred seventeen".