2005398825 has 24 divisors (see below), whose sum is σ = 3326224608. Its totient is φ = 1066116480.

The previous prime is 2005398823. The next prime is 2005398827. The reversal of 2005398825 is 5288935002.

It is an interprime number because it is at equal distance from previous prime (2005398823) and next prime (2005398827).

It is not a de Polignac number, because 2005398825 - 2¹ = 2005398823 is a prime.

It is a super-2 number, since 2×2005398825² = 8043248894622761250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2005398821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19239 + ... + 66188.

It is an arithmetic number, because the mean of its divisors is an integer number (138592692).

Almost surely, 2^2005398825 is an apocalyptic number.

2005398825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005398825 is a deficient number, since it is larger than the sum of its proper divisors (1320825783).

2005398825 is a wasteful number, since it uses less digits than its factorization.

2005398825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85753 (or 85748 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2005398825 is about 44781.6795687701. The cubic root of 2005398825 is about 1261.0537135403.

The spelling of 2005398825 in words is "two billion, five million, three hundred ninety-eight thousand, eight hundred twenty-five".