3325312135233 has 36 divisors (see below), whose sum is σ = 5291135380804. Its totient is φ = 2010930451200.

The previous prime is 3325312135153. The next prime is 3325312135259.

3325312135233 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 3 + 121 + 3 + 523 + 3 = 666.

3325312135233 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 1761969521664 + 1563342613569 = 1327392^2 + 1250337^2 .

It is not a de Polignac number, because 3325312135233 - 2²⁵ = 3325278580801 is a prime.

It is a super-2 number, since 2×3325312135233² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3325312135133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2843188 + ... + 3838533.

Almost surely, 2^{3325312135233} is an apocalyptic number.

3325312135233 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3325312135233 is a deficient number, since it is larger than the sum of its proper divisors (1965823245571).

3325312135233 is a wasteful number, since it uses less digits than its factorization.

3325312135233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682206 (or 6682192 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The spelling of 3325312135233 in words is "three trillion, three hundred twenty-five billion, three hundred twelve million, one hundred thirty-five thousand, two hundred thirty-three".