2005333381 has 2 divisors, whose sum is σ = 2005333382. Its totient is φ = 2005333380.

The previous prime is 2005333367. The next prime is 2005333391. The reversal of 2005333381 is 1833335002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1991390625 + 13942756 = 44625^2 + 3734^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005333381 - 2²¹ = 2003236229 is a prime.

It is a super-2 number, since 2×2005333381² = 8042723937905782322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005333391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002666690 + 1002666691.

It is an arithmetic number, because the mean of its divisors is an integer number (1002666691).

Almost surely, 2^2005333381 is an apocalyptic number.

It is an amenable number.

2005333381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005333381 is an equidigital number, since it uses as much as digits as its factorization.

2005333381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 2005333381 is about 44780.9488622115. The cubic root of 2005333381 is about 1261.0399956876.

Adding to 2005333381 its reverse (1833335002), we get a palindrome (3838668383).

The spelling of 2005333381 in words is "two billion, five million, three hundred thirty-three thousand, three hundred eighty-one".