3219566319225 has 243 divisors, whose sum is σ = 6141250788309. Its totient is φ = 1612299686400.

The previous prime is 3219566319223. The next prime is 3219566319259. The reversal of 3219566319225 is 5229136659123.

The square root of 3219566319225 is 1794315.

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

3219566319225 is a `hidden beast` number, since 3 + 21 + 9 + 566 + 31 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 3207175957881 + 12390361344 = 1790859^2 + 111312^2 .

It is not a de Polignac number, because 3219566319225 - 2¹ = 3219566319223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3219566319223) 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, 52779775695 + ... + 52779775755.

Almost surely, 2^{3219566319225} is an apocalyptic number.

3219566319225 is the 1794315-th square number.

3219566319225 is the 897158-th centered octagonal number.

It is an amenable number.

3219566319225 is a deficient number, since it is larger than the sum of its proper divisors (2921684469084).

3219566319225 is an equidigital number, since it uses as much as digits as its factorization.

3219566319225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 3219566319225 in words is "three trillion, two hundred nineteen billion, five hundred sixty-six million, three hundred nineteen thousand, two hundred twenty-five".