2005350252525 has 72 divisors (see below), whose sum is σ = 3726063641664. Its totient is φ = 1069167340800.

The previous prime is 2005350252439. The next prime is 2005350252539. The reversal of 2005350252525 is 5252520535002.

2005350252525 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 350 + 252 + 52 + 5 = 666.

It is not a de Polignac number, because 2005350252525 - 2⁷ = 2005350252397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2005350252525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18907192 + ... + 19012958.

It is an arithmetic number, because the mean of its divisors is an integer number (51750883912).

Almost surely, 2^{2005350252525} is an apocalyptic number.

2005350252525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005350252525 is a deficient number, since it is larger than the sum of its proper divisors (1720713389139).

2005350252525 is a wasteful number, since it uses less digits than its factorization.

2005350252525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108913 (or 108896 counting only the distinct ones).

The product of its (nonzero) digits is 150000, while the sum is 36.

Adding to 2005350252525 its reverse (5252520535002), we get a palindrome (7257870787527).

The spelling of 2005350252525 in words is "two trillion, five billion, three hundred fifty million, two hundred fifty-two thousand, five hundred twenty-five".