331106630005625 has 20 divisors (see below), whose sum is σ = 413765664119940. Its totient is φ = 264875816640000.

The previous prime is 331106630005589. The next prime is 331106630005631. The reversal of 331106630005625 is 526500036601133.

It can be written as a sum of positive squares in 10 ways, for example, as 280141194781561 + 50965435224064 = 16737419^2 + 7139008^2 .

It is a de Polignac number, because none of the positive numbers 2^k-331106630005625 is a prime.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 8002241 + ... + 26949009.

It is an arithmetic number, because the mean of its divisors is an integer number (20688283205997).

Almost surely, 2^{331106630005625} is an apocalyptic number.

It is an amenable number.

331106630005625 is a deficient number, since it is larger than the sum of its proper divisors (82659034114315).

331106630005625 is an equidigital number, since it uses as much as digits as its factorization.

331106630005625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18974750 (or 18974735 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

Adding to 331106630005625 its reverse (526500036601133), we get a palindrome (857606666606758).

The spelling of 331106630005625 in words is "three hundred thirty-one trillion, one hundred six billion, six hundred thirty million, five thousand, six hundred twenty-five".