1005533255121 has 8 divisors (see below), whose sum is σ = 1340831499744. Its totient is φ = 670295256960.

The previous prime is 1005533255113. The next prime is 1005533255141. The reversal of 1005533255121 is 1215523355001.

It is a happy number.

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

It is not a de Polignac number, because 1005533255121 - 2³ = 1005533255113 is a prime.

It is a super-2 number, since 2×1005533255121² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (1005533255101) 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 in 7 ways as a sum of consecutive naturals, for example, 15022656 + ... + 15089441.

It is an arithmetic number, because the mean of its divisors is an integer number (167603937468).

Almost surely, 2^{1005533255121} is an apocalyptic number.

It is an amenable number.

1005533255121 is a deficient number, since it is larger than the sum of its proper divisors (335298244623).

1005533255121 is a wasteful number, since it uses less digits than its factorization.

1005533255121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30123231.

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 1005533255121 in words is "one trillion, five billion, five hundred thirty-three million, two hundred fifty-five thousand, one hundred twenty-one".