2005203225 has 48 divisors (see below), whose sum is σ = 3463778304. Its totient is φ = 1022376000.

The previous prime is 2005203191. The next prime is 2005203283. The reversal of 2005203225 is 5223025002.

It is not a de Polignac number, because 2005203225 - 2⁷ = 2005203097 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 187780 + ... + 198170.

It is an arithmetic number, because the mean of its divisors is an integer number (72162048).

Almost surely, 2^2005203225 is an apocalyptic number.

2005203225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005203225 is a deficient number, since it is larger than the sum of its proper divisors (1458575079).

2005203225 is a wasteful number, since it uses less digits than its factorization.

2005203225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10513 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 2005203225 is about 44779.4955867080. The cubic root of 2005203225 is about 1261.0127125312.

Adding to 2005203225 its reverse (5223025002), we get a palindrome (7228228227).

The spelling of 2005203225 in words is "two billion, five million, two hundred three thousand, two hundred twenty-five".