2133524725752 has 128 divisors (see below), whose sum is σ = 6462961367040. Its totient is φ = 572956416000.

The previous prime is 2133524725751. The next prime is 2133524725757. The reversal of 2133524725752 is 2575274253312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133524725751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1647498 + ... + 2642214.

It is an arithmetic number, because the mean of its divisors is an integer number (50491885680).

Almost surely, 2^{2133524725752} 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 2133524725752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231480683520).

2133524725752 is an abundant number, since it is smaller than the sum of its proper divisors (4329436641288).

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

2133524725752 is a wasteful number, since it uses less digits than its factorization.

2133524725752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995501 (or 995497 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 48.

The spelling of 2133524725752 in words is "two trillion, one hundred thirty-three billion, five hundred twenty-four million, seven hundred twenty-five thousand, seven hundred fifty-two".