509985588 has 96 divisors (see below), whose sum is σ = 1414217728. Its totient is φ = 139968000.

The previous prime is 509985577. The next prime is 509985589. The reversal of 509985588 is 885589905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509985589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392556 + ... + 393852.

Almost surely, 2^509985588 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 509985588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707108864).

509985588 is an abundant number, since it is smaller than the sum of its proper divisors (904232140).

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

509985588 is a wasteful number, since it uses less digits than its factorization.

509985588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 57.

The square root of 509985588 is about 22582.8604919749. The cubic root of 509985588 is about 798.9494481131.

The spelling of 509985588 in words is "five hundred nine million, nine hundred eighty-five thousand, five hundred eighty-eight".