542501504 has 64 divisors (see below), whose sum is σ = 1115553600. Its totient is φ = 262625280.

The previous prime is 542501473. The next prime is 542501527. The reversal of 542501504 is 405105245.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 876107 + ... + 876725.

It is an arithmetic number, because the mean of its divisors is an integer number (17430525).

Almost surely, 2^542501504 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 542501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557776800).

542501504 is an abundant number, since it is smaller than the sum of its proper divisors (573052096).

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

542501504 is a wasteful number, since it uses less digits than its factorization.

542501504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 26.

The square root of 542501504 is about 23291.6616839589. The cubic root of 542501504 is about 815.5807791510.

Adding to 542501504 its reverse (405105245), we get a palindrome (947606749).

The spelling of 542501504 in words is "five hundred forty-two million, five hundred one thousand, five hundred four".