509000 has 32 divisors (see below), whose sum is σ = 1193400. Its totient is φ = 203200.

The previous prime is 508987. The next prime is 509023. The reversal of 509000 is 905.

It can be written as a sum of positive squares in 4 ways, for example, as 232324 + 276676 = 482^2 + 526^2 .

It is an Ulam number.

It is an unprimeable number.

509000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746 + ... + 1254.

2⁵⁰⁹⁰⁰⁰ is an apocalyptic number.

509000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596700).

509000 is an abundant number, since it is smaller than the sum of its proper divisors (684400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

509000 is a wasteful number, since it uses less digits than its factorization.

509000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 509000 is about 713.4423592695. The cubic root of 509000 is about 79.8434438269.

Adding to 509000 its reverse (905), we get a palindrome (509905).

The spelling of 509000 in words is "five hundred nine thousand".