331135251552252 has 288 divisors, whose sum is σ = 1023633602095104. Its totient is φ = 88101022464000.

The previous prime is 331135251552227. The next prime is 331135251552341. The reversal of 331135251552252 is 252255152531133.

331135251552252 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 525 + 1 + 55 + 22 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 331135251552198 and 331135251552207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615440427 + ... + 615978237.

It is an arithmetic number, because the mean of its divisors is an integer number (3554283340608).

Almost surely, 2^{331135251552252} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331135251552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511816801047552).

331135251552252 is an abundant number, since it is smaller than the sum of its proper divisors (692498350542852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331135251552252 is a wasteful number, since it uses less digits than its factorization.

331135251552252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539369 (or 539364 counting only the distinct ones).

The product of its digits is 1350000, while the sum is 45.

The spelling of 331135251552252 in words is "three hundred thirty-one trillion, one hundred thirty-five billion, two hundred fifty-one million, five hundred fifty-two thousand, two hundred fifty-two".