509000000 has 98 divisors (see below), whose sum is σ = 1265022870. Its totient is φ = 203200000.

The previous prime is 508999999. The next prime is 509000087. The reversal of 509000000 is 905.

It can be written as a sum of positive squares in 7 ways, for example, as 499611904 + 9388096 = 22352^2 + 3064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999746 + ... + 1000254.

Almost surely, 2^509000000 is an apocalyptic number.

509000000 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 509000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632511435).

509000000 is an abundant number, since it is smaller than the sum of its proper divisors (756022870).

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

509000000 is an frugal number, since it uses more digits than its factorization.

509000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 516 counting only the distinct ones).

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

The square root of 509000000 is about 22561.0283453570. The cubic root of 509000000 is about 798.4344382691.

Adding to 509000000 its reverse (905), we get a palindrome (509000905).

The spelling of 509000000 in words is "five hundred nine million", and thus it is an aban number.