331205313141225 has 120 divisors (see below), whose sum is σ = 624631659036000. Its totient is φ = 173446681224960.

The previous prime is 331205313141167. The next prime is 331205313141233. The reversal of 331205313141225 is 522141313502133.

331205313141225 is a `hidden beast` number, since 3 + 3 + 1 + 205 + 3 + 1 + 31 + 412 + 2 + 5 = 666.

It is not a de Polignac number, because 331205313141225 - 2¹⁰ = 331205313140201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331205313141225.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101015421 + ... + 104242629.

It is an arithmetic number, because the mean of its divisors is an integer number (5205263825300).

Almost surely, 2^{331205313141225} is an apocalyptic number.

It is an amenable number.

331205313141225 is a deficient number, since it is larger than the sum of its proper divisors (293426345894775).

331205313141225 is a wasteful number, since it uses less digits than its factorization.

331205313141225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228149 (or 3228135 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 331205313141225 its reverse (522141313502133), we get a palindrome (853346626643358).

The spelling of 331205313141225 in words is "three hundred thirty-one trillion, two hundred five billion, three hundred thirteen million, one hundred forty-one thousand, two hundred twenty-five".