2005042540381 has 2 divisors, whose sum is σ = 2005042540382. Its totient is φ = 2005042540380.

The previous prime is 2005042540367. The next prime is 2005042540387. The reversal of 2005042540381 is 1830452405002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1932352988281 + 72689552100 = 1390091^2 + 269610^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005042540381 - 2¹⁵ = 2005042507613 is a prime.

It is a super-2 number, since 2×2005042540381² (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 (2005042540387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002521270190 + 1002521270191.

It is an arithmetic number, because the mean of its divisors is an integer number (1002521270191).

Almost surely, 2^{2005042540381} is an apocalyptic number.

It is an amenable number.

2005042540381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005042540381 is an equidigital number, since it uses as much as digits as its factorization.

2005042540381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 2005042540381 its reverse (1830452405002), we get a palindrome (3835494945383).

The spelling of 2005042540381 in words is "two trillion, five billion, forty-two million, five hundred forty thousand, three hundred eighty-one".