509358616 has 32 divisors (see below), whose sum is σ = 1034233200. Its totient is φ = 233781120.

The previous prime is 509358611. The next prime is 509358617. The reversal of 509358616 is 616853905.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509358611) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5295 + ... + 32353.

Almost surely, 2^509358616 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 509358616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517116600).

509358616 is an abundant number, since it is smaller than the sum of its proper divisors (524874584).

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

509358616 is a wasteful number, since it uses less digits than its factorization.

509358616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27259 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 509358616 is about 22568.9746333324. The cubic root of 509358616 is about 798.6219066030.

The spelling of 509358616 in words is "five hundred nine million, three hundred fifty-eight thousand, six hundred sixteen".