516307 has 12 divisors (see below), whose sum is σ = 603288. Its totient is φ = 440000.

The previous prime is 516293. The next prime is 516319. The reversal of 516307 is 703615.

It is not a de Polignac number, because 516307 - 2⁷ = 516179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516377) 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 in 11 ways as a sum of consecutive naturals, for example, 1932 + ... + 2182.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2⁵¹⁶³⁰⁷ is an apocalyptic number.

516307 is a deficient number, since it is larger than the sum of its proper divisors (86981).

516307 is a wasteful number, since it uses less digits than its factorization.

516307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 516307 is about 718.5450577382. The cubic root of 516307 is about 80.2236968303.

The spelling of 516307 in words is "five hundred sixteen thousand, three hundred seven".