2005521345 has 48 divisors (see below), whose sum is σ = 3673837440. Its totient is φ = 1009262592.

The previous prime is 2005521311. The next prime is 2005521359. The reversal of 2005521345 is 5431255002.

It is a happy number.

It is not a de Polignac number, because 2005521345 - 2¹⁴ = 2005504961 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215172 + ... + 224298.

It is an arithmetic number, because the mean of its divisors is an integer number (76538280).

Almost surely, 2^2005521345 is an apocalyptic number.

It is an amenable number.

2005521345 is a deficient number, since it is larger than the sum of its proper divisors (1668316095).

2005521345 is a wasteful number, since it uses less digits than its factorization.

2005521345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2005521345 is about 44783.0475180062. The cubic root of 2005521345 is about 1261.0793944095.

Adding to 2005521345 its reverse (5431255002), we get a palindrome (7436776347).

The spelling of 2005521345 in words is "two billion, five million, five hundred twenty-one thousand, three hundred forty-five".