517289 has 2 divisors, whose sum is σ = 517290. Its totient is φ = 517288.

The previous prime is 517277. The next prime is 517303. The reversal of 517289 is 982715.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267289 + 250000 = 517^2 + 500^2 .

It is a cyclic number.

It is not a de Polignac number, because 517289 - 2¹⁶ = 451753 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (517229) 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, 258644 + 258645.

It is an arithmetic number, because the mean of its divisors is an integer number (258645).

2⁵¹⁷²⁸⁹ is an apocalyptic number.

It is an amenable number.

517289 is a deficient number, since it is larger than the sum of its proper divisors (1).

517289 is an equidigital number, since it uses as much as digits as its factorization.

517289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5040, while the sum is 32.

The square root of 517289 is about 719.2280584071. The cubic root of 517289 is about 80.2745256185.

The spelling of 517289 in words is "five hundred seventeen thousand, two hundred eighty-nine".