2005351332231 has 64 divisors (see below), whose sum is σ = 3027507840000. Its totient is φ = 1172089282560.

The previous prime is 2005351332157. The next prime is 2005351332263. The reversal of 2005351332231 is 1322331535002.

It is a happy number.

It is not a de Polignac number, because 2005351332231 - 2²⁶ = 2005284223367 is a prime.

It is a super-2 number, since 2×2005351332231² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005351332331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36027340 + ... + 36082958.

It is an arithmetic number, because the mean of its divisors is an integer number (47304810000).

Almost surely, 2^{2005351332231} is an apocalyptic number.

2005351332231 is a deficient number, since it is larger than the sum of its proper divisors (1022156507769).

2005351332231 is a wasteful number, since it uses less digits than its factorization.

2005351332231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56184.

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 2005351332231 its reverse (1322331535002), we get a palindrome (3327682867233).

The spelling of 2005351332231 in words is "two trillion, five billion, three hundred fifty-one million, three hundred thirty-two thousand, two hundred thirty-one".