42544125 has 48 divisors (see below), whose sum is σ = 82620720. Its totient is φ = 20937600.

The previous prime is 42544109. The next prime is 42544127. The reversal of 42544125 is 52144524.

It can be written as a sum of positive squares in 8 ways, for example, as 13351716 + 29192409 = 3654^2 + 5403^2 .

It is not a de Polignac number, because 42544125 - 2⁴ = 42544109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42544127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13171 + ... + 16079.

It is an arithmetic number, because the mean of its divisors is an integer number (1721265).

Almost surely, 2^42544125 is an apocalyptic number.

42544125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42544125 is a deficient number, since it is larger than the sum of its proper divisors (40076595).

42544125 is a wasteful number, since it uses less digits than its factorization.

42544125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2930 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 42544125 is about 6522.5857602641. The cubic root of 42544125 is about 349.0973338476.

Adding to 42544125 its reverse (52144524), we get a palindrome (94688649).

The spelling of 42544125 in words is "forty-two million, five hundred forty-four thousand, one hundred twenty-five".