509306 has 12 divisors (see below), whose sum is σ = 888858. Its totient is φ = 218232.

The previous prime is 509297. The next prime is 509317. The reversal of 509306 is 603905.

It can be written as a sum of positive squares in only one way, i.e., 442225 + 67081 = 665^2 + 259^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2501 + ... + 2696.

2⁵⁰⁹³⁰⁶ is an apocalyptic number.

509306 is a deficient number, since it is larger than the sum of its proper divisors (379552).

509306 is a wasteful number, since it uses less digits than its factorization.

509306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 509306 is about 713.6567802522. The cubic root of 509306 is about 79.8594406831.

The spelling of 509306 in words is "five hundred nine thousand, three hundred six".