516517 has 2 divisors, whose sum is σ = 516518. Its totient is φ = 516516.

The previous prime is 516499. The next prime is 516521. The reversal of 516517 is 715615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285156 + 231361 = 534^2 + 481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-516517 is a prime.

It is a super-2 number, since 2×516517² = 533579622578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 516491 and 516500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (516587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258258 + 258259.

It is an arithmetic number, because the mean of its divisors is an integer number (258259).

2⁵¹⁶⁵¹⁷ is an apocalyptic number.

It is an amenable number.

516517 is a deficient number, since it is larger than the sum of its proper divisors (1).

516517 is an equidigital number, since it uses as much as digits as its factorization.

516517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1050, while the sum is 25.

The square root of 516517 is about 718.6911715055. The cubic root of 516517 is about 80.2345719445.

The spelling of 516517 in words is "five hundred sixteen thousand, five hundred seventeen".