5200825 has 24 divisors (see below), whose sum is σ = 7463808. Its totient is φ = 3521280.

The previous prime is 5200801. The next prime is 5200843. The reversal of 5200825 is 5280025.

It is not a de Polignac number, because 5200825 - 2¹⁹ = 4676537 is a prime.

It is a Duffinian number.

5200825 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 5200796 and 5200805.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19644 + ... + 19906.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 2^5200825 is an apocalyptic number.

It is an amenable number.

5200825 is a deficient number, since it is larger than the sum of its proper divisors (2262983).

5200825 is a wasteful number, since it uses less digits than its factorization.

5200825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5200825 is about 2280.5317362405. The cubic root of 5200825 is about 173.2569827281.

Subtracting from 5200825 its product of nonzero digits (800), we obtain a palindrome (5200025).

The spelling of 5200825 in words is "five million, two hundred thousand, eight hundred twenty-five".