1005335222005 has 8 divisors (see below), whose sum is σ = 1206415574712. Its totient is φ = 804259305408.

The previous prime is 1005335221931. The next prime is 1005335222063. The reversal of 1005335222005 is 5002225335001.

1005335222005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 261699772356 + 743635449649 = 511566^2 + 862343^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005335222005 - 2²⁷ = 1005201004277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588214 + ... + 1535143.

It is an arithmetic number, because the mean of its divisors is an integer number (150801946839).

Almost surely, 2^{1005335222005} is an apocalyptic number.

It is an amenable number.

1005335222005 is a deficient number, since it is larger than the sum of its proper divisors (201080352707).

1005335222005 is an equidigital number, since it uses as much as digits as its factorization.

1005335222005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218055.

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 1005335222005 in words is "one trillion, five billion, three hundred thirty-five million, two hundred twenty-two thousand, five".