509041 has 4 divisors (see below), whose sum is σ = 548212. Its totient is φ = 469872.

The previous prime is 509027. The next prime is 509053. The reversal of 509041 is 140905.

509041 = 504² + 505².

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 140905 = 5 ⋅28181.

It can be written as a sum of positive squares in 2 ways, for example, as 254016 + 255025 = 504^2 + 505^2 .

It is not a de Polignac number, because 509041 - 2⁷ = 508913 is a prime.

It is an Ulam number.

It is a Duffinian number.

509041 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (509071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19566 + ... + 19591.

It is an arithmetic number, because the mean of its divisors is an integer number (137053).

2⁵⁰⁹⁰⁴¹ is an apocalyptic number.

509041 is the 505-th centered square number.

It is an amenable number.

509041 is a deficient number, since it is larger than the sum of its proper divisors (39171).

509041 is a wasteful number, since it uses less digits than its factorization.

509041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39170.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 509041 is about 713.4710926169. The cubic root of 509041 is about 79.8455875684.

Adding to 509041 its reverse (140905), we get a palindrome (649946).

It can be divided in two parts, 50904 and 1, that added together give a palindrome (50905).

The spelling of 509041 in words is "five hundred nine thousand, forty-one".