2005354034325 has 54 divisors (see below), whose sum is σ = 3790804394754. Its totient is φ = 1013231471040.

The previous prime is 2005354034303. The next prime is 2005354034371. The reversal of 2005354034325 is 5234304535002.

2005354034325 is a `hidden beast` number, since 2 + 0 + 0 + 53 + 540 + 3 + 43 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23492612529 + 1981861421796 = 153273^2 + 1407786^2 .

It is not a de Polignac number, because 2005354034325 - 2⁵ = 2005354034293 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005354034325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12263214 + ... + 12425663.

Almost surely, 2^{2005354034325} is an apocalyptic number.

2005354034325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2005354034325 is a deficient number, since it is larger than the sum of its proper divisors (1785450360429).

2005354034325 is a wasteful number, since it uses less digits than its factorization.

2005354034325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24688931 (or 24688904 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 2005354034325 its reverse (5234304535002), we get a palindrome (7239658569327).

The spelling of 2005354034325 in words is "two trillion, five billion, three hundred fifty-four million, thirty-four thousand, three hundred twenty-five".