509145 has 32 divisors (see below), whose sum is σ = 1005312. Its totient is φ = 214272.

The previous prime is 509137. The next prime is 509147. The reversal of 509145 is 541905.

It is not a de Polignac number, because 509145 - 2³ = 509137 is a prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 509145.

It is not an unprimeable number, because it can be changed into a prime (509147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (31416).

2⁵⁰⁹¹⁴⁵ is an apocalyptic number.

It is an amenable number.

509145 is a deficient number, since it is larger than the sum of its proper divisors (496167).

509145 is a wasteful number, since it uses less digits than its factorization.

509145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 509145 is about 713.5439720157. The cubic root of 509145 is about 79.8510248355.

The spelling of 509145 in words is "five hundred nine thousand, one hundred forty-five".