6628125 has 48 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 3000000.

The previous prime is 6628123. The next prime is 6628133. The reversal of 6628125 is 5218266.

6628125 = 71² + 72² + ... + 272².

It is not a de Polignac number, because 6628125 - 2¹ = 6628123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6628092 and 6628101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6628123) 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 47 ways as a sum of consecutive naturals, for example, 65575 + ... + 65675.

It is an arithmetic number, because the mean of its divisors is an integer number (265608).

Almost surely, 2^6628125 is an apocalyptic number.

It is an amenable number.

6628125 is a deficient number, since it is larger than the sum of its proper divisors (6121059).

6628125 is an equidigital number, since it uses as much as digits as its factorization.

6628125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 6628125 is about 2574.5145173411. The cubic root of 6628125 is about 187.8438136175.

The spelling of 6628125 in words is "six million, six hundred twenty-eight thousand, one hundred twenty-five".