3115241563752 has 320 divisors, whose sum is σ = 9186269518800. Its totient is φ = 984896962560.

The previous prime is 3115241563747. The next prime is 3115241563849. The reversal of 3115241563752 is 2573651425113.

3115241563752 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 2 + 4 + 1 + 5 + 637 + 5 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 659106917316 + 2456134646436 = 811854^2 + 1567206^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3115241563698 and 3115241563707.

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 79 ways as a sum of consecutive naturals, for example, 1321696558 + ... + 1321698914.

Almost surely, 2^{3115241563752} 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 3115241563752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593134759400).

3115241563752 is an abundant number, since it is smaller than the sum of its proper divisors (6071027955048).

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

3115241563752 is a wasteful number, since it uses less digits than its factorization.

3115241563752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 3605 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

Adding to 3115241563752 its reverse (2573651425113), we get a palindrome (5688892988865).

The spelling of 3115241563752 in words is "three trillion, one hundred fifteen billion, two hundred forty-one million, five hundred sixty-three thousand, seven hundred fifty-two".