541305504 has 60 divisors (see below), whose sum is σ = 1591972074. Its totient is φ = 180434304.

The previous prime is 541305481. The next prime is 541305509. The reversal of 541305504 is 405503145.

It can be written as a sum of positive squares in only one way, i.e., 535829904 + 5475600 = 23148^2 + 2340^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (541305509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101827 + ... + 107010.

Almost surely, 2^541305504 is an apocalyptic number.

541305504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

541305504 is an abundant number, since it is smaller than the sum of its proper divisors (1050666570).

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

541305504 is a wasteful number, since it uses less digits than its factorization.

541305504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208859 (or 208842 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 541305504 is about 23265.9730937694. The cubic root of 541305504 is about 814.9809944506.

Adding to 541305504 its reverse (405503145), we get a palindrome (946808649).

The spelling of 541305504 in words is "five hundred forty-one million, three hundred five thousand, five hundred four".