42122573 has 2 divisors, whose sum is σ = 42122574. Its totient is φ = 42122572.

The previous prime is 42122537. The next prime is 42122593. The reversal of 42122573 is 37522124.

42122573 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (42122537) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41126569 + 996004 = 6413^2 + 998^2 .

It is a cyclic number.

It is not a de Polignac number, because 42122573 - 2¹⁰ = 42121549 is a prime.

It is a super-2 number, since 2×42122573² = 3548622312280658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42122593) 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, 21061286 + 21061287.

It is an arithmetic number, because the mean of its divisors is an integer number (21061287).

Almost surely, 2^42122573 is an apocalyptic number.

It is an amenable number.

42122573 is a deficient number, since it is larger than the sum of its proper divisors (1).

42122573 is an equidigital number, since it uses as much as digits as its factorization.

42122573 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3360, while the sum is 26.

The square root of 42122573 is about 6490.1905210864. The cubic root of 42122573 is about 347.9404844934.

Adding to 42122573 its reverse (37522124), we get a palindrome (79644697).

The spelling of 42122573 in words is "forty-two million, one hundred twenty-two thousand, five hundred seventy-three".