2005113112424 has 48 divisors (see below), whose sum is σ = 3870354396300. Its totient is φ = 973831265280.

The previous prime is 2005113112417. The next prime is 2005113112439. The reversal of 2005113112424 is 4242113115002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 396736216900 + 1608376895524 = 629870^2 + 1268218^2 .

It is a super-2 number, since 2×2005113112424² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005113112393 and 2005113112402.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2754044 + ... + 3405140.

Almost surely, 2^{2005113112424} is an apocalyptic number.

It is an amenable number.

2005113112424 is a deficient number, since it is larger than the sum of its proper divisors (1865241283876).

2005113112424 is a wasteful number, since it uses less digits than its factorization.

2005113112424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651414 (or 651369 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 2005113112424 its reverse (4242113115002), we get a palindrome (6247226227426).

The spelling of 2005113112424 in words is "two trillion, five billion, one hundred thirteen million, one hundred twelve thousand, four hundred twenty-four".