541506144 has 24 divisors (see below), whose sum is σ = 1421453880. Its totient is φ = 180502016.

The previous prime is 541506143. The next prime is 541506157. The reversal of 541506144 is 441605145.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541506143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2820249 + ... + 2820440.

It is an arithmetic number, because the mean of its divisors is an integer number (59227245).

Almost surely, 2^541506144 is an apocalyptic number.

It is an amenable number.

541506144 is an abundant number, since it is smaller than the sum of its proper divisors (879947736).

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

541506144 is a wasteful number, since it uses less digits than its factorization.

541506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640702 (or 5640694 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 541506144 is about 23270.2845706708. The cubic root of 541506144 is about 815.0816754810.

Subtracting from 541506144 its reverse (441605145), we obtain a palindrome (99900999).

It can be divided in two parts, 54150 and 6144, that multiplied together give a square (332697600 = 18240²).

The spelling of 541506144 in words is "five hundred forty-one million, five hundred six thousand, one hundred forty-four".