5004125 has 48 divisors (see below), whose sum is σ = 7824960. Its totient is φ = 3175200.

The previous prime is 5004121. The next prime is 5004127. The reversal of 5004125 is 5214005.

It is not a de Polignac number, because 5004125 - 2² = 5004121 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5004125 = 45³ + 170³ = 80³ + 165³.

5004125 is a modest number, since divided by 4125 gives 500 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5004121) 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 47 ways as a sum of consecutive naturals, for example, 116354 + ... + 116396.

It is an arithmetic number, because the mean of its divisors is an integer number (163020).

Almost surely, 2^5004125 is an apocalyptic number.

It is an amenable number.

5004125 is a deficient number, since it is larger than the sum of its proper divisors (2820835).

5004125 is a wasteful number, since it uses less digits than its factorization.

5004125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 5004125 is about 2236.9901653785. The cubic root of 5004125 is about 171.0446060804.

The spelling of 5004125 in words is "five million, four thousand, one hundred twenty-five".