2005200025 has 12 divisors (see below), whose sum is σ = 2487006124. Its totient is φ = 1603800000.

The previous prime is 2005200013. The next prime is 2005200047. The reversal of 2005200025 is 5200025002.

It can be written as a sum of positive squares in 6 ways, for example, as 515471616 + 1489728409 = 22704^2 + 38597^2 .

It is not a de Polignac number, because 2005200025 - 2⁷ = 2005199897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005199981 and 2005200008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197575 + ... + 207475.

Almost surely, 2^2005200025 is an apocalyptic number.

2005200025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005200025 is a deficient number, since it is larger than the sum of its proper divisors (481806099).

2005200025 is an equidigital number, since it uses as much as digits as its factorization.

2005200025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18012 (or 18007 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 16.

The square root of 2005200025 is about 44779.4598560545. The cubic root of 2005200025 is about 1261.0120417359.

Adding to 2005200025 its reverse (5200025002), we get a palindrome (7205225027).

The spelling of 2005200025 in words is "two billion, five million, two hundred thousand, twenty-five".