542013264 has 120 divisors (see below), whose sum is σ = 1646109920. Its totient is φ = 165494016.

The previous prime is 542013229. The next prime is 542013271. The reversal of 542013264 is 462310245.

It is a super-3 number, since 3×542013264³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259167 + ... + 261249.

Almost surely, 2^542013264 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 542013264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823054960).

542013264 is an abundant number, since it is smaller than the sum of its proper divisors (1104096656).

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

542013264 is a wasteful number, since it uses less digits than its factorization.

542013264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 542013264 is about 23281.1783206950. The cubic root of 542013264 is about 815.3360371713.

The spelling of 542013264 in words is "five hundred forty-two million, thirteen thousand, two hundred sixty-four".