509164218 has 64 divisors (see below), whose sum is σ = 1165449600. Its totient is φ = 166760208.

The previous prime is 509164211. The next prime is 509164219. The reversal of 509164218 is 812461905.

509164218 is a `hidden beast` number, since 5 + 0 + 9 + 1 + 642 + 1 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509164211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257080 + ... + 259052.

It is an arithmetic number, because the mean of its divisors is an integer number (18210150).

Almost surely, 2^509164218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509164218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582724800).

509164218 is an abundant number, since it is smaller than the sum of its proper divisors (656285382).

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

509164218 is an equidigital number, since it uses as much as digits as its factorization.

509164218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 509164218 is about 22564.6674692981. The cubic root of 509164218 is about 798.5202949871.

The spelling of 509164218 in words is "five hundred nine million, one hundred sixty-four thousand, two hundred eighteen".