541125120 has 80 divisors (see below), whose sum is σ = 1729933920. Its totient is φ = 144297984.

The previous prime is 541125061. The next prime is 541125133. The reversal of 541125120 is 21521145.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27550 + ... + 42909.

It is an arithmetic number, because the mean of its divisors is an integer number (21624174).

Almost surely, 2^541125120 is an apocalyptic number.

It is an amenable number.

541125120 is an abundant number, since it is smaller than the sum of its proper divisors (1188808800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

541125120 is an equidigital number, since it uses as much as digits as its factorization.

541125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70485 (or 70469 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 541125120 is about 23262.0962082096. The cubic root of 541125120 is about 814.8904566284.

Adding to 541125120 its reverse (21521145), we get a palindrome (562646265).

The spelling of 541125120 in words is "five hundred forty-one million, one hundred twenty-five thousand, one hundred twenty".