2005014031981 has 2 divisors, whose sum is σ = 2005014031982. Its totient is φ = 2005014031980.

The previous prime is 2005014031961. The next prime is 2005014031997. The reversal of 2005014031981 is 1891304105002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1550547944100 + 454466087881 = 1245210^2 + 674141^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005014031981 - 2¹⁵ = 2005013999213 is a prime.

It is a super-2 number, since 2×2005014031981² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005014031901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002507015990 + 1002507015991.

It is an arithmetic number, because the mean of its divisors is an integer number (1002507015991).

Almost surely, 2^{2005014031981} is an apocalyptic number.

It is an amenable number.

2005014031981 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005014031981 is an equidigital number, since it uses as much as digits as its factorization.

2005014031981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

Adding to 2005014031981 its reverse (1891304105002), we get a palindrome (3896318136983).

The spelling of 2005014031981 in words is "two trillion, five billion, fourteen million, thirty-one thousand, nine hundred eighty-one".