3033013938552 has 128 divisors (see below), whose sum is σ = 9075720729600. Its totient is φ = 932967414144.

The previous prime is 3033013938551. The next prime is 3033013938629. The reversal of 3033013938552 is 2558393103303.

3033013938552 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 0 + 1 + 3 + 93 + 8 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3033013938498 and 3033013938507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033013938551) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9750693 + ... + 10056939.

It is an arithmetic number, because the mean of its divisors is an integer number (70904068200).

Almost surely, 2^{3033013938552} 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 3033013938552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537860364800).

3033013938552 is an abundant number, since it is smaller than the sum of its proper divisors (6042706791048).

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

3033013938552 is a wasteful number, since it uses less digits than its factorization.

3033013938552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309802 (or 309792 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 3033013938552 in words is "three trillion, thirty-three billion, thirteen million, nine hundred thirty-eight thousand, five hundred fifty-two".