2205251730081 has 15 divisors (see below), whose sum is σ = 3294284895363. Its totient is φ = 1470158910000.

The previous prime is 2205251730079. The next prime is 2205251730167. The reversal of 2205251730081 is 1800371525022.

The square root of 2205251730081 is 1485009.

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

2205251730081 is a `hidden beast` number, since 2 + 20 + 5 + 251 + 7 + 300 + 81 = 666.

2205251730081 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 only one way, i.e., 163667984481 + 2041583745600 = 404559^2 + 1428840^2 .

It is not a de Polignac number, because 2205251730081 - 2¹ = 2205251730079 is a prime.

It is a super-3 number, since 3×2205251730081³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2205251730041) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13282581 + ... + 13447581.

Almost surely, 2^{2205251730081} is an apocalyptic number.

2205251730081 is the 1485009-th square number.

2205251730081 is the 742505-th centered octagonal number.

It is an amenable number.

2205251730081 is a deficient number, since it is larger than the sum of its proper divisors (1089033165282).

2205251730081 is an frugal number, since it uses more digits than its factorization.

2205251730081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330014 (or 165004 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Multiplying 2205251730081 by its sum of digits (36), we get a square (79389062282916 = 8910054²).

The spelling of 2205251730081 in words is "two trillion, two hundred five billion, two hundred fifty-one million, seven hundred thirty thousand, eighty-one".