541525540 has 48 divisors (see below), whose sum is σ = 1189810944. Its totient is φ = 206816000.

The previous prime is 541525519. The next prime is 541525549. The reversal of 541525540 is 45525145.

It is not an unprimeable number, because it can be changed into a prime (541525549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31515 + ... + 45565.

It is an arithmetic number, because the mean of its divisors is an integer number (24787728).

Almost surely, 2^541525540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594905472).

541525540 is an abundant number, since it is smaller than the sum of its proper divisors (648285404).

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

541525540 is a wasteful number, since it uses less digits than its factorization.

541525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14148 (or 14146 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 31.

The square root of 541525540 is about 23270.7013216190. The cubic root of 541525540 is about 815.0914070637.

The spelling of 541525540 in words is "five hundred forty-one million, five hundred twenty-five thousand, five hundred forty".