36103888290225 has 192 divisors, whose sum is σ = 71619936030720. Its totient is φ = 15703046553600.

The previous prime is 36103888290221. The next prime is 36103888290271. The reversal of 36103888290225 is 52209288830163.

It is a happy number.

36103888290225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 36103888290225 - 2² = 36103888290221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36103888290221) 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 191 ways as a sum of consecutive naturals, for example, 598816881 + ... + 598877169.

It is an arithmetic number, because the mean of its divisors is an integer number (373020500160).

Almost surely, 2^{36103888290225} is an apocalyptic number.

36103888290225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36103888290225 is a deficient number, since it is larger than the sum of its proper divisors (35516047740495).

36103888290225 is a wasteful number, since it uses less digits than its factorization.

36103888290225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61040 (or 61035 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 36103888290225 in words is "thirty-six trillion, one hundred three billion, eight hundred eighty-eight million, two hundred ninety thousand, two hundred twenty-five".