61081182216225 has 18 divisors (see below), whose sum is σ = 109403184147686. Its totient is φ = 32576630515200.

The previous prime is 61081182216199. The next prime is 61081182216227. The reversal of 61081182216225 is 52261228118016.

61081182216225 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 1 + 18 + 2 + 2 + 1 + 622 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4759339291281 + 56321842924944 = 2181591^2 + 7504788^2 .

It is not a de Polignac number, because 61081182216225 - 2⁵ = 61081182216193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61081182216227) 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 17 ways as a sum of consecutive naturals, for example, 135735960256 + ... + 135735960705.

Almost surely, 2^{61081182216225} is an apocalyptic number.

It is an amenable number.

61081182216225 is a deficient number, since it is larger than the sum of its proper divisors (48322001931461).

61081182216225 is a wasteful number, since it uses less digits than its factorization.

61081182216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271471920977 (or 271471920969 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 61081182216225 in words is "sixty-one trillion, eighty-one billion, one hundred eighty-two million, two hundred sixteen thousand, two hundred twenty-five".