9933134700825 has 288 divisors, whose sum is σ = 22687639183872. Its totient is φ = 4047436800000.

The previous prime is 9933134700823. The next prime is 9933134700877. The reversal of 9933134700825 is 5280074313399.

9933134700825 is a `hidden beast` number, since 9 + 93 + 3 + 1 + 3 + 470 + 0 + 82 + 5 = 666.

It is not a de Polignac number, because 9933134700825 - 2¹ = 9933134700823 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9933134700823) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62118475 + ... + 62278175.

It is an arithmetic number, because the mean of its divisors is an integer number (78776524944).

Almost surely, 2^{9933134700825} is an apocalyptic number.

It is an amenable number.

9933134700825 is an abundant number, since it is smaller than the sum of its proper divisors (12754504483047).

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

9933134700825 is a wasteful number, since it uses less digits than its factorization.

9933134700825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159865 (or 159857 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9933134700825 in words is "nine trillion, nine hundred thirty-three billion, one hundred thirty-four million, seven hundred thousand, eight hundred twenty-five".