42778125 has 90 divisors (see below), whose sum is σ = 86490558. Its totient is φ = 21060000.

The previous prime is 42778097. The next prime is 42778159. The reversal of 42778125 is 52187724.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42778125 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 9 ways, for example, as 37675044 + 5103081 = 6138^2 + 2259^2 .

It is not a de Polignac number, because 42778125 - 2⁶ = 42778061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42778125.

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 89 ways as a sum of consecutive naturals, for example, 3290619 + ... + 3290631.

Almost surely, 2^42778125 is an apocalyptic number.

42778125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42778125 is an abundant number, since it is smaller than the sum of its proper divisors (43712433).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42778125 is an frugal number, since it uses more digits than its factorization.

42778125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 21 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42778125 is about 6540.4988341869. The cubic root of 42778125 is about 349.7361957716.

The spelling of 42778125 in words is "forty-two million, seven hundred seventy-eight thousand, one hundred twenty-five".