2005354311331 has 8 divisors (see below), whose sum is σ = 2320844049920. Its totient is φ = 1697117210568.

The previous prime is 2005354311313. The next prime is 2005354311353. The reversal of 2005354311331 is 1331134535002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2005354311331 - 2⁷ = 2005354311203 is a prime.

It is a super-2 number, since 2×2005354311331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2005354311293 and 2005354311302.

It is not an unprimeable number, because it can be changed into a prime (2005354311731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1813158861 + ... + 1813159966.

It is an arithmetic number, because the mean of its divisors is an integer number (290105506240).

Almost surely, 2^{2005354311331} is an apocalyptic number.

2005354311331 is a deficient number, since it is larger than the sum of its proper divisors (315489738589).

2005354311331 is an equidigital number, since it uses as much as digits as its factorization.

2005354311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626318913.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 2005354311331 its reverse (1331134535002), we get a palindrome (3336488846333).

The spelling of 2005354311331 in words is "two trillion, five billion, three hundred fifty-four million, three hundred eleven thousand, three hundred thirty-one".