33505505541 has 12 divisors (see below), whose sum is σ = 48531656160. Its totient is φ = 22274781480.

The previous prime is 33505505519. The next prime is 33505505567. The reversal of 33505505541 is 14550550533.

33505505541 is a `hidden beast` number, since 3 + 3 + 50 + 5 + 50 + 554 + 1 = 666.

It is not a de Polignac number, because 33505505541 - 2⁶ = 33505505477 is a prime.

It is a super-2 number, since 2×33505505541² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33505505496 and 33505505505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33505505041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5181775 + ... + 5188236.

It is an arithmetic number, because the mean of its divisors is an integer number (4044304680).

Almost surely, 2^33505505541 is an apocalyptic number.

It is an amenable number.

33505505541 is a deficient number, since it is larger than the sum of its proper divisors (15026150619).

33505505541 is a wasteful number, since it uses less digits than its factorization.

33505505541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370376 (or 10370373 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 36.

The spelling of 33505505541 in words is "thirty-three billion, five hundred five million, five hundred five thousand, five hundred forty-one".