8128125 has 54 divisors (see below), whose sum is σ = 15588846. Its totient is φ = 4080000.

The previous prime is 8128117. The next prime is 8128129. The reversal of 8128125 is 5218218.

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.

It can be written as a sum of positive squares in 9 ways, for example, as 7257636 + 870489 = 2694^2 + 933^2 .

It is not a de Polignac number, because 8128125 - 2³ = 8128117 is a prime.

8128125 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8128129) 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 53 ways as a sum of consecutive naturals, for example, 478117 + ... + 478133.

Almost surely, 2^8128125 is an apocalyptic number.

8128125 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8128125 is a deficient number, since it is larger than the sum of its proper divisors (7460721).

8128125 is an equidigital number, since it uses as much as digits as its factorization.

8128125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 25 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 8128125 is about 2850.9866713122. The cubic root of 8128125 is about 201.0620585089.

Multiplying 8128125 by its product of digits (1280), we get a square (10404000000 = 102000²).

The spelling of 8128125 in words is "eight million, one hundred twenty-eight thousand, one hundred twenty-five".