509164225 has 12 divisors (see below), whose sum is σ = 658814976. Its totient is φ = 389620880.

The previous prime is 509164219. The next prime is 509164231. The reversal of 509164225 is 522461905.

It is a happy number.

509164225 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (509164219) and next prime (509164231).

It is not a de Polignac number, because 509164225 - 2⁵ = 509164193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442177 + ... + 443326.

It is an arithmetic number, because the mean of its divisors is an integer number (54901248).

Almost surely, 2^509164225 is an apocalyptic number.

It is an amenable number.

509164225 is a deficient number, since it is larger than the sum of its proper divisors (149650751).

509164225 is a wasteful number, since it uses less digits than its factorization.

509164225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885536 (or 885531 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 509164225 is about 22564.6676244079. The cubic root of 509164225 is about 798.5202986465.

The spelling of 509164225 in words is "five hundred nine million, one hundred sixty-four thousand, two hundred twenty-five".