42642013 has 2 divisors, whose sum is σ = 42642014. Its totient is φ = 42642012.

The previous prime is 42642011. The next prime is 42642107. The reversal of 42642013 is 31024624.

It is a happy number.

42642013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37429924 + 5212089 = 6118^2 + 2283^2 .

It is a cyclic number.

It is not a de Polignac number, because 42642013 - 2¹ = 42642011 is a prime.

Together with 42642011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42642011) 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 as a sum of consecutive naturals, namely, 21321006 + 21321007.

It is an arithmetic number, because the mean of its divisors is an integer number (21321007).

Almost surely, 2^42642013 is an apocalyptic number.

It is an amenable number.

42642013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42642013 is an equidigital number, since it uses as much as digits as its factorization.

42642013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 42642013 is about 6530.0852214960. The cubic root of 42642013 is about 349.3648699224.

Adding to 42642013 its reverse (31024624), we get a palindrome (73666637).

The spelling of 42642013 in words is "forty-two million, six hundred forty-two thousand, thirteen".