509225 has 6 divisors (see below), whose sum is σ = 631470. Its totient is φ = 407360.

The previous prime is 509221. The next prime is 509227. The reversal of 509225 is 522905.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 63001 + 446224 = 251^2 + 668^2 .

It is not a de Polignac number, because 509225 - 2² = 509221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 509225.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509225.

It is not an unprimeable number, because it can be changed into a prime (509221) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10160 + ... + 10209.

It is an arithmetic number, because the mean of its divisors is an integer number (105245).

2⁵⁰⁹²²⁵ is an apocalyptic number.

It is an amenable number.

509225 is a deficient number, since it is larger than the sum of its proper divisors (122245).

509225 is a wasteful number, since it uses less digits than its factorization.

509225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20379 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 509225 is about 713.6000280269. The cubic root of 509225 is about 79.8552068449.

The spelling of 509225 in words is "five hundred nine thousand, two hundred twenty-five".