332106505601233 has 12 divisors (see below), whose sum is σ = 365152541768784. Its totient is φ = 301824148571000.

The previous prime is 332106505601209. The next prime is 332106505601371.

332106505601233 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-332106505601233 is a prime.

It is a super-2 number, since 2×332106505601233² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332106505601833) 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 11 ways as a sum of consecutive naturals, for example, 412580443 + ... + 413384608.

It is an arithmetic number, because the mean of its divisors is an integer number (30429378480732).

Almost surely, 2^{332106505601233} is an apocalyptic number.

It is an amenable number.

332106505601233 is a deficient number, since it is larger than the sum of its proper divisors (33046036167551).

332106505601233 is a wasteful number, since it uses less digits than its factorization.

332106505601233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825968396 (or 825968385 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 40.

It can be divided in two parts, 33210650 and 5601233, that added together give a palindrome (38811883).

The spelling of 332106505601233 in words is "three hundred thirty-two trillion, one hundred six billion, five hundred five million, six hundred one thousand, two hundred thirty-three".