2005333389 has 16 divisors (see below), whose sum is σ = 2975305600. Its totient is φ = 1334890368.

The previous prime is 2005333381. The next prime is 2005333391. The reversal of 2005333389 is 9833335002.

It is not a de Polignac number, because 2005333389 - 2³ = 2005333381 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005333381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37009 + ... + 73350.

It is an arithmetic number, because the mean of its divisors is an integer number (185956600).

Almost surely, 2^2005333389 is an apocalyptic number.

It is an amenable number.

2005333389 is a deficient number, since it is larger than the sum of its proper divisors (969972211).

2005333389 is a wasteful number, since it uses less digits than its factorization.

2005333389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111041 (or 111035 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 2005333389 is about 44780.9489515352. The cubic root of 2005333389 is about 1261.0399973645.

The spelling of 2005333389 in words is "two billion, five million, three hundred thirty-three thousand, three hundred eighty-nine".