42782513 has 2 divisors, whose sum is σ = 42782514. Its totient is φ = 42782512.

The previous prime is 42782491. The next prime is 42782521. The reversal of 42782513 is 31528724.

42782513 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., 22061809 + 20720704 = 4697^2 + 4552^2 .

It is a cyclic number.

It is not a de Polignac number, because 42782513 - 2¹⁸ = 42520369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42782513.

It is not a weakly prime, because it can be changed into another prime (42782543) 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, 21391256 + 21391257.

It is an arithmetic number, because the mean of its divisors is an integer number (21391257).

Almost surely, 2^42782513 is an apocalyptic number.

It is an amenable number.

42782513 is a deficient number, since it is larger than the sum of its proper divisors (1).

42782513 is an equidigital number, since it uses as much as digits as its factorization.

42782513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13440, while the sum is 32.

The square root of 42782513 is about 6540.8342740051. The cubic root of 42782513 is about 349.7481535183.

The spelling of 42782513 in words is "forty-two million, seven hundred eighty-two thousand, five hundred thirteen".