42780013 has 2 divisors, whose sum is σ = 42780014. Its totient is φ = 42780012.

The previous prime is 42779941. The next prime is 42780019. The reversal of 42780013 is 31008724.

42780013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39967684 + 2812329 = 6322^2 + 1677^2 .

It is a cyclic number.

It is not a de Polignac number, because 42780013 - 2⁹ = 42779501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42780013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42780019) 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, 21390006 + 21390007.

It is an arithmetic number, because the mean of its divisors is an integer number (21390007).

Almost surely, 2^42780013 is an apocalyptic number.

It is an amenable number.

42780013 is a deficient number, since it is larger than the sum of its proper divisors (1).

42780013 is an equidigital number, since it uses as much as digits as its factorization.

42780013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 42780013 is about 6540.6431640933. The cubic root of 42780013 is about 349.7413408640.

Adding to 42780013 its reverse (31008724), we get a palindrome (73788737).

The spelling of 42780013 in words is "forty-two million, seven hundred eighty thousand, thirteen".