516361 has 2 divisors, whose sum is σ = 516362. Its totient is φ = 516360.

The previous prime is 516359. The next prime is 516371. The reversal of 516361 is 163615.

516361 is nontrivially palindromic in base 14.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319225 + 197136 = 565^2 + 444^2 .

It is a cyclic number.

It is not a de Polignac number, because 516361 - 2¹ = 516359 is a prime.

Together with 516359, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (516371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258180 + 258181.

It is an arithmetic number, because the mean of its divisors is an integer number (258181).

2⁵¹⁶³⁶¹ is an apocalyptic number.

It is an amenable number.

516361 is a deficient number, since it is larger than the sum of its proper divisors (1).

516361 is an equidigital number, since it uses as much as digits as its factorization.

516361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 516361 is about 718.5826326874. The cubic root of 516361 is about 80.2264935698.

Adding to 516361 its reverse (163615), we get a palindrome (679976).

The spelling of 516361 in words is "five hundred sixteen thousand, three hundred sixty-one".