2005240333521 has 24 divisors (see below), whose sum is σ = 2795283801856. Its totient is φ = 1278552987360.

The previous prime is 2005240333489. The next prime is 2005240333531. The reversal of 2005240333521 is 1253330425002.

It is not a de Polignac number, because 2005240333521 - 2⁵ = 2005240333489 is a prime.

It is a super-2 number, since 2×2005240333521² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005240333531) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14233536 + ... + 14373726.

Almost surely, 2^{2005240333521} is an apocalyptic number.

It is an amenable number.

2005240333521 is a deficient number, since it is larger than the sum of its proper divisors (790043468335).

2005240333521 is a wasteful number, since it uses less digits than its factorization.

2005240333521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149253 (or 149230 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 2005240333521 its reverse (1253330425002), we get a palindrome (3258570758523).

The spelling of 2005240333521 in words is "two trillion, five billion, two hundred forty million, three hundred thirty-three thousand, five hundred twenty-one".