2005725025 has 54 divisors (see below), whose sum is σ = 2792002290. Its totient is φ = 1428848640.

The previous prime is 2005724939. The next prime is 2005725037. The reversal of 2005725025 is 5205275002.

It can be written as a sum of positive squares in 9 ways, for example, as 168402529 + 1837322496 = 12977^2 + 42864^2 .

It is not a de Polignac number, because 2005725025 - 2¹¹ = 2005722977 is a prime.

It is a super-2 number, since 2×2005725025² = 8045865751822501250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005724984 and 2005725002.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 2607841 + ... + 2608609.

Almost surely, 2^2005725025 is an apocalyptic number.

2005725025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005725025 is a deficient number, since it is larger than the sum of its proper divisors (786277265).

2005725025 is a wasteful number, since it uses less digits than its factorization.

2005725025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 28.

The square root of 2005725025 is about 44785.3215350744. The cubic root of 2005725025 is about 1261.1220845487.

The spelling of 2005725025 in words is "two billion, five million, seven hundred twenty-five thousand, twenty-five".