30825581222241 has 81 divisors (see below), whose sum is σ = 49944438999819. Its totient is φ = 18311733707904.

The previous prime is 30825581222153. The next prime is 30825581222257. The reversal of 30825581222241 is 14222218552803.

The square root of 30825581222241 is 5552079.

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

30825581222241 is a `hidden beast` number, since 3 + 0 + 8 + 2 + 5 + 581 + 2 + 2 + 22 + 41 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5877594140625 + 24947987081616 = 2424375^2 + 4994796^2 .

It is a de Polignac number, because none of the positive numbers 2^k-30825581222241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30825581222341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6279398895 + ... + 6279403803.

Almost surely, 2^{30825581222241} is an apocalyptic number.

30825581222241 is the 5552079-th square number.

30825581222241 is the 2776040-th centered octagonal number.

It is an amenable number.

30825581222241 is a deficient number, since it is larger than the sum of its proper divisors (19118857777578).

30825581222241 is an frugal number, since it uses more digits than its factorization.

30825581222241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9908 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 30825581222241 in words is "thirty trillion, eight hundred twenty-five billion, five hundred eighty-one million, two hundred twenty-two thousand, two hundred forty-one".