509045 has 8 divisors (see below), whose sum is σ = 621240. Its totient is φ = 400320.

The previous prime is 509027. The next prime is 509053. The reversal of 509045 is 540905.

It can be written as a sum of positive squares in 4 ways, for example, as 676 + 508369 = 26^2 + 713^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 509045 - 2⁸ = 508789 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 509045.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 530 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (77655).

2⁵⁰⁹⁰⁴⁵ is an apocalyptic number.

It is an amenable number.

509045 is a deficient number, since it is larger than the sum of its proper divisors (112195).

509045 is a wasteful number, since it uses less digits than its factorization.

509045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735.

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

The square root of 509045 is about 713.4738958084. The cubic root of 509045 is about 79.8457967078.

The spelling of 509045 in words is "five hundred nine thousand, forty-five".