42641125 has 16 divisors (see below), whose sum is σ = 53956656. Its totient is φ = 33638400.

The previous prime is 42641101. The next prime is 42641141. The reversal of 42641125 is 52114624.

It is a happy number.

42641125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3290596 + 39350529 = 1814^2 + 6273^2 .

It is not a de Polignac number, because 42641125 - 2²¹ = 40543973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42641125.

It is a congruent number.

It is an unprimeable number.

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, 6789 + ... + 11461.

It is an arithmetic number, because the mean of its divisors is an integer number (3372291).

Almost surely, 2^42641125 is an apocalyptic number.

It is an amenable number.

42641125 is a deficient number, since it is larger than the sum of its proper divisors (11315531).

42641125 is an equidigital number, since it uses as much as digits as its factorization.

42641125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 42641125 is about 6530.0172281549. The cubic root of 42641125 is about 349.3624447855.

Adding to 42641125 its reverse (52114624), we get a palindrome (94755749).

The spelling of 42641125 in words is "forty-two million, six hundred forty-one thousand, one hundred twenty-five".