509133816 has 128 divisors (see below), whose sum is σ = 1522670400. Its totient is φ = 157040640.

The previous prime is 509133811. The next prime is 509133853. The reversal of 509133816 is 618331905.

It is a happy number.

509133816 is a `hidden beast` number, since 509 + 133 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509133811) 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, 222856 + ... + 225128.

Almost surely, 2^509133816 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 509133816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761335200).

509133816 is an abundant number, since it is smaller than the sum of its proper divisors (1013536584).

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

509133816 is a wasteful number, since it uses less digits than its factorization.

509133816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 509133816 is about 22563.9937954255. The cubic root of 509133816 is about 798.5044015573.

The spelling of 509133816 in words is "five hundred nine million, one hundred thirty-three thousand, eight hundred sixteen".