509966128 has 60 divisors (see below), whose sum is σ = 1154303352. Its totient is φ = 217620480.

The previous prime is 509966123. The next prime is 509966147. The reversal of 509966128 is 821669905.

It is not an unprimeable number, because it can be changed into a prime (509966123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 200223 + ... + 202753.

Almost surely, 2^509966128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509966128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577151676).

509966128 is an abundant number, since it is smaller than the sum of its proper divisors (644337224).

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

509966128 is a wasteful number, since it uses less digits than its factorization.

509966128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 509966128 is about 22582.4296301350. The cubic root of 509966128 is about 798.9392858952.

The spelling of 509966128 in words is "five hundred nine million, nine hundred sixty-six thousand, one hundred twenty-eight".