42564125 has 16 divisors (see below), whose sum is σ = 53464320. Its totient is φ = 33830800.

The previous prime is 42564121. The next prime is 42564131. The reversal of 42564125 is 52146524.

42564125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42564125 - 2² = 42564121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564121) 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 in 15 ways as a sum of consecutive naturals, for example, 19856 + ... + 21894.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^42564125 is an apocalyptic number.

It is an amenable number.

42564125 is a deficient number, since it is larger than the sum of its proper divisors (10900195).

42564125 is a wasteful number, since it uses less digits than its factorization.

42564125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2211 counting only the distinct ones).

The product of its digits is 9600, while the sum is 29.

The square root of 42564125 is about 6524.1187144319. The cubic root of 42564125 is about 349.1520288487.

The spelling of 42564125 in words is "forty-two million, five hundred sixty-four thousand, one hundred twenty-five".