541005521 has 18 divisors (see below), whose sum is σ = 650345490. Its totient is φ = 448721280.

The previous prime is 541005511. The next prime is 541005539. The reversal of 541005521 is 125500145.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 398561296 + 142444225 = 19964^2 + 11935^2 .

It is not a de Polignac number, because 541005521 - 2¹⁸ = 540743377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541005511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41345 + ... + 52833.

It is an arithmetic number, because the mean of its divisors is an integer number (36130305).

Almost surely, 2^541005521 is an apocalyptic number.

It is an amenable number.

541005521 is a deficient number, since it is larger than the sum of its proper divisors (109339969).

541005521 is a wasteful number, since it uses less digits than its factorization.

541005521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11565 (or 11527 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 541005521 is about 23259.5253820881. The cubic root of 541005521 is about 814.8304167465.

Adding to 541005521 its reverse (125500145), we get a palindrome (666505666).

The spelling of 541005521 in words is "five hundred forty-one million, five thousand, five hundred twenty-one".