516609 has 12 divisors (see below), whose sum is σ = 759252. Its totient is φ = 338400.

The previous prime is 516599. The next prime is 516611. The reversal of 516609 is 906615.

516609 is a `hidden beast` number, since 51 + 6 + 609 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 378225 = 372^2 + 615^2 .

It is not a de Polignac number, because 516609 - 2¹¹ = 514561 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (516619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 1019.

It is an arithmetic number, because the mean of its divisors is an integer number (63271).

2⁵¹⁶⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

516609 is a deficient number, since it is larger than the sum of its proper divisors (242643).

516609 is a wasteful number, since it uses less digits than its factorization.

516609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 516609 is about 718.7551738944. The cubic root of 516609 is about 80.2393353517.

Adding to 516609 its sum of digits (27), we get a triangular number (516636 = T₁₀₁₆).

The spelling of 516609 in words is "five hundred sixteen thousand, six hundred nine".