509241 has 8 divisors (see below), whose sum is σ = 683200. Its totient is φ = 337392.

The previous prime is 509239. The next prime is 509263. The reversal of 509241 is 142905.

509241 is nontrivially palindromic in base 8.

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

It is not a de Polignac number, because 509241 - 2¹ = 509239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (509221) 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 7 ways as a sum of consecutive naturals, for example, 171 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (85400).

2⁵⁰⁹²⁴¹ is an apocalyptic number.

It is an amenable number.

509241 is a deficient number, since it is larger than the sum of its proper divisors (173959).

509241 is a wasteful number, since it uses less digits than its factorization.

509241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 509241 is about 713.6112387007. The cubic root of 509241 is about 79.8560431942.

The spelling of 509241 in words is "five hundred nine thousand, two hundred forty-one".