2005065321 has 16 divisors (see below), whose sum is σ = 3056169984. Its totient is φ = 1145439504.

The previous prime is 2005065311. The next prime is 2005065341. The reversal of 2005065321 is 1235605002.

It is not a de Polignac number, because 2005065321 - 2¹⁷ = 2004934249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005065291 and 2005065300.

It is not an unprimeable number, because it can be changed into a prime (2005065301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82090 + ... + 103676.

It is an arithmetic number, because the mean of its divisors is an integer number (191010624).

Almost surely, 2^2005065321 is an apocalyptic number.

2005065321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2005065321 is a deficient number, since it is larger than the sum of its proper divisors (1051104663).

2005065321 is a wasteful number, since it uses less digits than its factorization.

2005065321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26020.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2005065321 is about 44777.9557483367. The cubic root of 2005065321 is about 1260.9838039595.

The spelling of 2005065321 in words is "two billion, five million, sixty-five thousand, three hundred twenty-one".