509930000 has 50 divisors (see below), whose sum is σ = 1234615734. Its totient is φ = 203968000.

The previous prime is 509929993. The next prime is 509930027. The reversal of 509930000 is 39905.

It can be written as a sum of positive squares in 5 ways, for example, as 371255824 + 138674176 = 19268^2 + 11776^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15497 + ... + 35496.

Almost surely, 2^509930000 is an apocalyptic number.

509930000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

509930000 is an abundant number, since it is smaller than the sum of its proper divisors (724685734).

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

509930000 is an equidigital number, since it uses as much as digits as its factorization.

509930000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51021 (or 51000 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 26.

The square root of 509930000 is about 22581.6297020388. The cubic root of 509930000 is about 798.9204187858.

Adding to 509930000 its reverse (39905), we get a palindrome (509969905).

The spelling of 509930000 in words is "five hundred nine million, nine hundred thirty thousand".