541009 has 12 divisors (see below), whose sum is σ = 643188. Its totient is φ = 453600.

The previous prime is 541007. The next prime is 541027. The reversal of 541009 is 900145.

It can be written as a sum of positive squares in 2 ways, for example, as 11025 + 529984 = 105^2 + 728^2 .

It is not a de Polignac number, because 541009 - 2¹ = 541007 is a prime.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (541001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2899 + ... + 3079.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2⁵⁴¹⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

541009 is a deficient number, since it is larger than the sum of its proper divisors (102179).

541009 is a wasteful number, since it uses less digits than its factorization.

541009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

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

The square root of 541009 is about 735.5331399740. The cubic root of 541009 is about 81.4832163364.

It can be divided in two parts, 5 and 41009, that added together give a palindrome (41014).

The spelling of 541009 in words is "five hundred forty-one thousand, nine".