509245 has 16 divisors (see below), whose sum is σ = 684288. Its totient is φ = 360640.

The previous prime is 509239. The next prime is 509263. The reversal of 509245 is 542905.

509245 is nontrivially palindromic in base 4.

It is not a de Polignac number, because 509245 - 2¹¹ = 507197 is a prime.

509245 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2487 + ... + 2683.

It is an arithmetic number, because the mean of its divisors is an integer number (42768).

2⁵⁰⁹²⁴⁵ is an apocalyptic number.

509245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

509245 is a deficient number, since it is larger than the sum of its proper divisors (175043).

509245 is a wasteful number, since it uses less digits than its factorization.

509245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 509245 is about 713.6140413417. The cubic root of 509245 is about 79.8562522788.

The spelling of 509245 in words is "five hundred nine thousand, two hundred forty-five".