42689125 has 16 divisors (see below), whose sum is σ = 56412720. Its totient is φ = 32140800.

The previous prime is 42689123. The next prime is 42689137. The reversal of 42689125 is 52198624.

It can be written as a sum of positive squares in 8 ways, for example, as 16248961 + 26440164 = 4031^2 + 5142^2 .

It is not a de Polignac number, because 42689125 - 2¹ = 42689123 is a prime.

It is a super-3 number, since 3×42689125³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42689123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7920 + ... + 12169.

It is an arithmetic number, because the mean of its divisors is an integer number (3525795).

Almost surely, 2^42689125 is an apocalyptic number.

It is an amenable number.

42689125 is a deficient number, since it is larger than the sum of its proper divisors (13723595).

42689125 is a wasteful number, since it uses less digits than its factorization.

42689125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20121 (or 20111 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 42689125 is about 6533.6915292964. The cubic root of 42689125 is about 349.4934850195.

The spelling of 42689125 in words is "forty-two million, six hundred eighty-nine thousand, one hundred twenty-five".