509065 has 16 divisors (see below), whose sum is σ = 664848. Its totient is φ = 372736.

The previous prime is 509063. The next prime is 509071. The reversal of 509065 is 560905.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 499849 = 96^2 + 707^2 .

It is a cyclic number.

It is not a de Polignac number, because 509065 - 2¹ = 509063 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (509063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4449 + ... + 4561.

It is an arithmetic number, because the mean of its divisors is an integer number (41553).

2⁵⁰⁹⁰⁶⁵ is an apocalyptic number.

It is an amenable number.

509065 is a deficient number, since it is larger than the sum of its proper divisors (155783).

509065 is a wasteful number, since it uses less digits than its factorization.

509065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 1350, while the sum is 25.

The square root of 509065 is about 713.4879116005. The cubic root of 509065 is about 79.8468423881.

The spelling of 509065 in words is "five hundred nine thousand, sixty-five".