2005331525 has 24 divisors (see below), whose sum is σ = 2551336704. Its totient is φ = 1562633600.

The previous prime is 2005331483. The next prime is 2005331569. The reversal of 2005331525 is 5251335002.

It is not a de Polignac number, because 2005331525 - 2¹⁰ = 2005330501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005331494 and 2005331503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883442 + ... + 885708.

It is an arithmetic number, because the mean of its divisors is an integer number (106305696).

Almost surely, 2^2005331525 is an apocalyptic number.

2005331525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005331525 is a deficient number, since it is larger than the sum of its proper divisors (546005179).

2005331525 is a wasteful number, since it uses less digits than its factorization.

2005331525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 2005331525 is about 44780.9281391085. The cubic root of 2005331525 is about 1261.0396066433.

Adding to 2005331525 its reverse (5251335002), we get a palindrome (7256666527).

The spelling of 2005331525 in words is "two billion, five million, three hundred thirty-one thousand, five hundred twenty-five".