509861160 has 96 divisors (see below), whose sum is σ = 1661928840. Its totient is φ = 135562752.

The previous prime is 509861159. The next prime is 509861201. The reversal of 509861160 is 61168905.

509861160 is a `hidden beast` number, since 509 + 86 + 11 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 259145604 + 250715556 = 16098^2 + 15834^2 .

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 23 ways as a sum of consecutive naturals, for example, 132382 + ... + 136178.

Almost surely, 2^509861160 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 509861160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830964420).

509861160 is an abundant number, since it is smaller than the sum of its proper divisors (1152067680).

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

509861160 is a wasteful number, since it uses less digits than its factorization.

509861160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 509861160 is about 22580.1054027655. The cubic root of 509861160 is about 798.8844660363.

The spelling of 509861160 in words is "five hundred nine million, eight hundred sixty-one thousand, one hundred sixty".