3691528182225 has 243 divisors, whose sum is σ = 7326951128913. Its totient is φ = 1775866884480.

The previous prime is 3691528182191. The next prime is 3691528182227. The reversal of 3691528182225 is 5222818251963.

The square root of 3691528182225 is 1921335.

It is a perfect power (a square), and thus also a powerful number.

3691528182225 is a `hidden beast` number, since 3 + 6 + 91 + 528 + 1 + 8 + 2 + 2 + 25 = 666.

3691528182225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 951496849809 + 2740031332416 = 975447^2 + 1655304^2 .

It is not a de Polignac number, because 3691528182225 - 2⁹ = 3691528181713 is a prime.

It is a super-2 number, since 2×3691528182225² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3691528182227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 22104959092 + ... + 22104959258.

Almost surely, 2^{3691528182225} is an apocalyptic number.

3691528182225 is the 1921335-th square number.

3691528182225 is the 960668-th centered octagonal number.

It is an amenable number.

3691528182225 is a deficient number, since it is larger than the sum of its proper divisors (3635422946688).

3691528182225 is a wasteful number, since it uses less digits than its factorization.

3691528182225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 247 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 3691528182225 in words is "three trillion, six hundred ninety-one billion, five hundred twenty-eight million, one hundred eighty-two thousand, two hundred twenty-five".