5005000 has 160 divisors (see below), whose sum is σ = 15744960. Its totient is φ = 1440000.

The previous prime is 5004991. The next prime is 5005001. The reversal of 5005000 is 5005.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (5005001) 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 39 ways as a sum of consecutive naturals, for example, 384994 + ... + 385006.

It is an arithmetic number, because the mean of its divisors is an integer number (98406).

Almost surely, 2^5005000 is an apocalyptic number.

5005000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872480).

5005000 is an abundant number, since it is smaller than the sum of its proper divisors (10739960).

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

5005000 is a wasteful number, since it uses less digits than its factorization.

5005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 5005000 is about 2237.1857321197. The cubic root of 5005000 is about 171.0545748767.

5005000 divided by its sum of digits (10) gives a triangular number (500500 = T₁₀₀₀).

5005000 divided by its reverse (5005) gives a cube (1000 = 10³).

The spelling of 5005000 in words is "five million, five thousand".