541533504 has 112 divisors (see below), whose sum is σ = 1525438656. Its totient is φ = 168960000.

The previous prime is 541533493. The next prime is 541533523. The reversal of 541533504 is 405335145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818934 + ... + 819594.

It is an arithmetic number, because the mean of its divisors is an integer number (13619988).

Almost surely, 2^541533504 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 541533504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762719328).

541533504 is an abundant number, since it is smaller than the sum of its proper divisors (983905152).

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

541533504 is a wasteful number, since it uses less digits than its factorization.

541533504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 541533504 is about 23270.8724374485. The cubic root of 541533504 is about 815.0954027854.

Adding to 541533504 its reverse (405335145), we get a palindrome (946868649).

The spelling of 541533504 in words is "five hundred forty-one million, five hundred thirty-three thousand, five hundred four".