1005093334221 has 8 divisors (see below), whose sum is σ = 1340206863360. Its totient is φ = 670021013952.

The previous prime is 1005093334213. The next prime is 1005093334237. The reversal of 1005093334221 is 1224333905001.

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

It is not a de Polignac number, because 1005093334221 - 2³ = 1005093334213 is a prime.

It is a super-2 number, since 2×1005093334221² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005093314221) 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 7 ways as a sum of consecutive naturals, for example, 10245261 + ... + 10342898.

It is an arithmetic number, because the mean of its divisors is an integer number (167525857920).

Almost surely, 2^{1005093334221} is an apocalyptic number.

It is an amenable number.

1005093334221 is a deficient number, since it is larger than the sum of its proper divisors (335113529139).

1005093334221 is a wasteful number, since it uses less digits than its factorization.

1005093334221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20604435.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 1005093334221 in words is "one trillion, five billion, ninety-three million, three hundred thirty-four thousand, two hundred twenty-one".