2005309225 has 12 divisors (see below), whose sum is σ = 2487229200. Its totient is φ = 1603830800.

The previous prime is 2005309217. The next prime is 2005309231. The reversal of 2005309225 is 5229035002.

It is not a de Polignac number, because 2005309225 - 2³ = 2005309217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005309193 and 2005309202.

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, 119610 + ... + 135340.

It is an arithmetic number, because the mean of its divisors is an integer number (207269100).

Almost surely, 2^2005309225 is an apocalyptic number.

2005309225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005309225 is a deficient number, since it is larger than the sum of its proper divisors (481919975).

2005309225 is a wasteful number, since it uses less digits than its factorization.

2005309225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20840 (or 20835 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2005309225 is about 44780.6791484899. The cubic root of 2005309225 is about 1261.0349322229.

The spelling of 2005309225 in words is "two billion, five million, three hundred nine thousand, two hundred twenty-five".