42533524 has 48 divisors (see below), whose sum is σ = 86982336. Its totient is φ = 17984000.

The previous prime is 42533501. The next prime is 42533527.

42533524 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42533492 and 42533501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42533527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75267 + ... + 75829.

It is an arithmetic number, because the mean of its divisors is an integer number (1812132).

Almost surely, 2^42533524 is an apocalyptic number.

42533524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42533524 is an abundant number, since it is smaller than the sum of its proper divisors (44448812).

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

42533524 is a wasteful number, since it uses less digits than its factorization.

42533524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 694 counting only the distinct ones).

The product of its digits is 14400, while the sum is 28.

The square root of 42533524 is about 6521.7730717957. The cubic root of 42533524 is about 349.0683358112.

It can be divided in two parts, 4253 and 3524, that added together give a palindrome (7777).

The spelling of 42533524 in words is "forty-two million, five hundred thirty-three thousand, five hundred twenty-four".