42824013 has 16 divisors (see below), whose sum is σ = 58335552. Its totient is φ = 27936000.

The previous prime is 42823997. The next prime is 42824017. The reversal of 42824013 is 31042824.

42824013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42824013 - 2⁴ = 42823997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42824017) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43618 + ... + 44588.

It is an arithmetic number, because the mean of its divisors is an integer number (3645972).

Almost surely, 2^42824013 is an apocalyptic number.

It is an amenable number.

42824013 is a deficient number, since it is larger than the sum of its proper divisors (15511539).

42824013 is a wasteful number, since it uses less digits than its factorization.

42824013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42824013 is about 6544.0058832492. The cubic root of 42824013 is about 349.8612048309.

Adding to 42824013 its reverse (31042824), we get a palindrome (73866837).

The spelling of 42824013 in words is "forty-two million, eight hundred twenty-four thousand, thirteen".