1005333553213 has 16 divisors (see below), whose sum is σ = 1106700172416. Its totient is φ = 905665904640.

The previous prime is 1005333553199. The next prime is 1005333553219. The reversal of 1005333553213 is 3123553335001.

It is a cyclic number.

It is not a de Polignac number, because 1005333553213 - 2⁹ = 1005333552701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005333553219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375681 + ... + 1466902.

It is an arithmetic number, because the mean of its divisors is an integer number (69168760776).

Almost surely, 2^{1005333553213} is an apocalyptic number.

It is an amenable number.

1005333553213 is a deficient number, since it is larger than the sum of its proper divisors (101366619203).

1005333553213 is a wasteful number, since it uses less digits than its factorization.

1005333553213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843044.

The product of its (nonzero) digits is 60750, while the sum is 34.

Adding to 1005333553213 its reverse (3123553335001), we get a palindrome (4128886888214).

The spelling of 1005333553213 in words is "one trillion, five billion, three hundred thirty-three million, five hundred fifty-three thousand, two hundred thirteen".