331152120125 has 16 divisors (see below), whose sum is σ = 427528810800. Its totient is φ = 255786462400.

The previous prime is 331152120053. The next prime is 331152120157. The reversal of 331152120125 is 521021251133.

It can be written as a sum of positive squares in 8 ways, for example, as 71878682404 + 259273437721 = 268102^2 + 509189^2 .

It is not a de Polignac number, because 331152120125 - 2²⁶ = 331085011261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331152120094 and 331152120103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45672530 + ... + 45679779.

It is an arithmetic number, because the mean of its divisors is an integer number (26720550675).

Almost surely, 2^331152120125 is an apocalyptic number.

It is an amenable number.

331152120125 is a deficient number, since it is larger than the sum of its proper divisors (96376690675).

331152120125 is an equidigital number, since it uses as much as digits as its factorization.

331152120125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91352353 (or 91352343 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 331152120125 its reverse (521021251133), we get a palindrome (852173371258).

The spelling of 331152120125 in words is "three hundred thirty-one billion, one hundred fifty-two million, one hundred twenty thousand, one hundred twenty-five".