2005351020221 has 2 divisors, whose sum is σ = 2005351020222. Its totient is φ = 2005351020220.

The previous prime is 2005351020209. The next prime is 2005351020247. The reversal of 2005351020221 is 1220201535002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2003954503321 + 1396516900 = 1415611^2 + 37370^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005351020221 - 2⁶ = 2005351020157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005351020521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002675510110 + 1002675510111.

It is an arithmetic number, because the mean of its divisors is an integer number (1002675510111).

Almost surely, 2^{2005351020221} is an apocalyptic number.

It is an amenable number.

2005351020221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005351020221 is an equidigital number, since it uses as much as digits as its factorization.

2005351020221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 2005351020221 its reverse (1220201535002), we get a palindrome (3225552555223).

The spelling of 2005351020221 in words is "two trillion, five billion, three hundred fifty-one million, twenty thousand, two hundred twenty-one".