2005273033283 has 12 divisors (see below), whose sum is σ = 2175288794928. Its totient is φ = 1847697976800.

The previous prime is 2005273033277. The next prime is 2005273033307. The reversal of 2005273033283 is 3823303725002.

It is not a de Polignac number, because 2005273033283 - 2¹⁴ = 2005273016899 is a prime.

It is a super-2 number, since 2×2005273033283² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005273033213) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10557143 + ... + 10745408.

It is an arithmetic number, because the mean of its divisors is an integer number (181274066244).

Almost surely, 2^{2005273033283} is an apocalyptic number.

2005273033283 is a deficient number, since it is larger than the sum of its proper divisors (170015761645).

2005273033283 is a wasteful number, since it uses less digits than its factorization.

2005273033283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303134 (or 21303121 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

Adding to 2005273033283 its reverse (3823303725002), we get a palindrome (5828576758285).

The spelling of 2005273033283 in words is "two trillion, five billion, two hundred seventy-three million, thirty-three thousand, two hundred eighty-three".