516009 has 16 divisors (see below), whose sum is σ = 753984. Its totient is φ = 312000.

The previous prime is 515993. The next prime is 516017. The reversal of 516009 is 900615.

It is not a de Polignac number, because 516009 - 2⁴ = 515993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (516049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3874 + ... + 4004.

It is an arithmetic number, because the mean of its divisors is an integer number (47124).

2⁵¹⁶⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

516009 is a deficient number, since it is larger than the sum of its proper divisors (237975).

516009 is a wasteful number, since it uses less digits than its factorization.

516009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 516009 is about 718.3376643334. The cubic root of 516009 is about 80.2082594628.

The spelling of 516009 in words is "five hundred sixteen thousand, nine".