541125 has 48 divisors (see below), whose sum is σ = 1078896. Its totient is φ = 259200.

The previous prime is 541097. The next prime is 541129. The reversal of 541125 is 521145.

541125 is a `hidden beast` number, since 541 + 125 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 159201 + 381924 = 399^2 + 618^2 .

It is not a de Polignac number, because 541125 - 2⁶ = 541061 is a prime.

It is a nialpdrome in base 15.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 541098 and 541107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14607 + ... + 14643.

It is an arithmetic number, because the mean of its divisors is an integer number (22477).

2⁵⁴¹¹²⁵ is an apocalyptic number.

It is an amenable number.

541125 is a deficient number, since it is larger than the sum of its proper divisors (537771).

541125 is a wasteful number, since it uses less digits than its factorization.

541125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 58 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 541125 is about 735.6119901144. The cubic root of 541125 is about 81.4890396392.

It can be divided in two parts, 541 and 125, that added together give a palindrome (666).

The spelling of 541125 in words is "five hundred forty-one thousand, one hundred twenty-five".