509314 has 16 divisors (see below), whose sum is σ = 866880. Its totient is φ = 222480.

The previous prime is 509297. The next prime is 509317. The reversal of 509314 is 413905.

It is not an unprimeable number, because it can be changed into a prime (509317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 1009.

It is an arithmetic number, because the mean of its divisors is an integer number (54180).

2⁵⁰⁹³¹⁴ is an apocalyptic number.

509314 is a deficient number, since it is larger than the sum of its proper divisors (357566).

509314 is a wasteful number, since it uses less digits than its factorization.

509314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065.

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

The square root of 509314 is about 713.6623851654. The cubic root of 509314 is about 79.8598588156.

The spelling of 509314 in words is "five hundred nine thousand, three hundred fourteen".