3221217300625 has 135 divisors (see below), whose sum is σ = 4425738929733. Its totient is φ = 2343258240000.

The previous prime is 3221217300611. The next prime is 3221217300709. The reversal of 3221217300625 is 5260037121223.

The square root of 3221217300625 is 1794775.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2334169784401 + 887047516224 = 1527799^2 + 941832^2 .

It is not a de Polignac number, because 3221217300625 - 2²¹ = 3221215203473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 31273954324 + ... + 31273954426.

Almost surely, 2^{3221217300625} is an apocalyptic number.

3221217300625 is the 1794775-th square number.

3221217300625 is the 897388-th centered octagonal number.

It is an amenable number.

3221217300625 is a deficient number, since it is larger than the sum of its proper divisors (1204521629108).

3221217300625 is an frugal number, since it uses more digits than its factorization.

3221217300625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 3221217300625 in words is "three trillion, two hundred twenty-one billion, two hundred seventeen million, three hundred thousand, six hundred twenty-five".