4133075625 has 200 divisors, whose sum is σ = 8981375040. Its totient is φ = 1854576000.

The previous prime is 4133075593. The next prime is 4133075647. The reversal of 4133075625 is 5265703314.

It is not a de Polignac number, because 4133075625 - 2⁵ = 4133075593 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4133075625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 37918071 + ... + 37918179.

Almost surely, 2^4133075625 is an apocalyptic number.

4133075625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4133075625 is an abundant number, since it is smaller than the sum of its proper divisors (4848299415).

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

4133075625 is a wasteful number, since it uses less digits than its factorization.

4133075625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4133075625 is about 64289.0008088475. Note that the first 3 decimals coincide. The cubic root of 4133075625 is about 1604.8130623400.

Adding to 4133075625 its reverse (5265703314), we get a palindrome (9398778939).

The spelling of 4133075625 in words is "four billion, one hundred thirty-three million, seventy-five thousand, six hundred twenty-five".