42625125 has 24 divisors (see below), whose sum is σ = 76840920. Its totient is φ = 22732800.

The previous prime is 42625057. The next prime is 42625127. The reversal of 42625125 is 52152624.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 37344321 = 2298^2 + 6111^2 .

It is not a de Polignac number, because 42625125 - 2¹⁶ = 42559589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42625127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17820 + ... + 20069.

It is an arithmetic number, because the mean of its divisors is an integer number (3201705).

Almost surely, 2^42625125 is an apocalyptic number.

42625125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42625125 is a deficient number, since it is larger than the sum of its proper divisors (34215795).

42625125 is a wasteful number, since it uses less digits than its factorization.

42625125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37910 (or 37897 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 42625125 is about 6528.7920015880. The cubic root of 42625125 is about 349.3187428553.

Adding to 42625125 its reverse (52152624), we get a palindrome (94777749).

The spelling of 42625125 in words is "forty-two million, six hundred twenty-five thousand, one hundred twenty-five".