509164214 has 24 divisors (see below), whose sum is σ = 834396552. Its totient is φ = 232901760.

The previous prime is 509164211. The next prime is 509164219. The reversal of 509164214 is 412461905.

It is a Curzon number.

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 11 ways as a sum of consecutive naturals, for example, 31529 + ... + 44859.

It is an arithmetic number, because the mean of its divisors is an integer number (34766523).

Almost surely, 2^509164214 is an apocalyptic number.

509164214 is a deficient number, since it is larger than the sum of its proper divisors (325232338).

509164214 is a wasteful number, since it uses less digits than its factorization.

509164214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13472 (or 13459 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 509164214 is about 22564.6673806640. The cubic root of 509164214 is about 798.5202928960.

The spelling of 509164214 in words is "five hundred nine million, one hundred sixty-four thousand, two hundred fourteen".