509265 has 12 divisors (see below), whose sum is σ = 882804. Its totient is φ = 271584.

The previous prime is 509263. The next prime is 509281. The reversal of 509265 is 562905.

It can be written as a sum of positive squares in 2 ways, for example, as 370881 + 138384 = 609^2 + 372^2 .

It is not a de Polignac number, because 509265 - 2¹ = 509263 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (509263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5614 + ... + 5703.

It is an arithmetic number, because the mean of its divisors is an integer number (73567).

2⁵⁰⁹²⁶⁵ is an apocalyptic number.

It is an amenable number.

509265 is a deficient number, since it is larger than the sum of its proper divisors (373539).

509265 is a wasteful number, since it uses less digits than its factorization.

509265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328 (or 11325 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 509265 is about 713.6280543813. The cubic root of 509265 is about 79.8572976853.

The spelling of 509265 in words is "five hundred nine thousand, two hundred sixty-five".