3330205263225 has 135 divisors (see below), whose sum is σ = 6243354564447. Its totient is φ = 1754867812320.

The previous prime is 3330205263211. The next prime is 3330205263269. The reversal of 3330205263225 is 5223625020333.

The square root of 3330205263225 is 1824885.

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

3330205263225 is a `hidden beast` number, since 3 + 3 + 302 + 0 + 5 + 26 + 322 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1198873894761 + 2131331368464 = 1094931^2 + 1459908^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 3330205263225 - 2⁵ = 3330205263193 is a prime.

It is a super-2 number, since 2×3330205263225² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3330205263225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8786821086 + ... + 8786821464.

Almost surely, 2^{3330205263225} is an apocalyptic number.

3330205263225 is the 1824885-th square number.

3330205263225 is the 912443-rd centered octagonal number.

It is an amenable number.

3330205263225 is a deficient number, since it is larger than the sum of its proper divisors (2913149301222).

3330205263225 is an frugal number, since it uses more digits than its factorization.

3330205263225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Multiplying 3330205263225 by its sum of digits (36), we get a square (119887389476100 = 10949310²).

The spelling of 3330205263225 in words is "three trillion, three hundred thirty billion, two hundred five million, two hundred sixty-three thousand, two hundred twenty-five".