5005305825 has 48 divisors (see below), whose sum is σ = 8920887360. Its totient is φ = 2461697280.

The previous prime is 5005305821. The next prime is 5005305829. The reversal of 5005305825 is 5285035005.

5005305825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5005305821) and next prime (5005305829).

It is not a de Polignac number, because 5005305825 - 2² = 5005305821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5005305821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1336806 + ... + 1340544.

It is an arithmetic number, because the mean of its divisors is an integer number (185851820).

Almost surely, 2^5005305825 is an apocalyptic number.

It is an amenable number.

5005305825 is a deficient number, since it is larger than the sum of its proper divisors (3915581535).

5005305825 is a wasteful number, since it uses less digits than its factorization.

5005305825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5138 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 33.

The square root of 5005305825 is about 70748.1860191482. The cubic root of 5005305825 is about 1710.5805883940.

The spelling of 5005305825 in words is "five billion, five million, three hundred five thousand, eight hundred twenty-five".