509117616 has 160 divisors (see below), whose sum is σ = 1758220800. Its totient is φ = 137790720.

The previous prime is 509117603. The next prime is 509117659. The reversal of 509117616 is 616711905.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53026 + ... + 61886.

It is an arithmetic number, because the mean of its divisors is an integer number (10988880).

Almost surely, 2^509117616 is an apocalyptic number.

509117616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509117616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879110400).

509117616 is an abundant number, since it is smaller than the sum of its proper divisors (1249103184).

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

509117616 is a wasteful number, since it uses less digits than its factorization.

509117616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 509117616 is about 22563.6348135667. The cubic root of 509117616 is about 798.4959323310.

The spelling of 509117616 in words is "five hundred nine million, one hundred seventeen thousand, six hundred sixteen".