82180133321705 has 16 divisors (see below), whose sum is σ = 98641286507520. Its totient is φ = 65727357102528.

The previous prime is 82180133321701. The next prime is 82180133321731. The reversal of 82180133321705 is 50712333108128.

It is a cyclic number.

It is not a de Polignac number, because 82180133321705 - 2² = 82180133321701 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82180133321701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525642536 + ... + 525798854.

It is an arithmetic number, because the mean of its divisors is an integer number (6165080406720).

Almost surely, 2^{82180133321705} is an apocalyptic number.

It is an amenable number.

82180133321705 is a deficient number, since it is larger than the sum of its proper divisors (16461153185815).

82180133321705 is a wasteful number, since it uses less digits than its factorization.

82180133321705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182440.

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 82180133321705 in words is "eighty-two trillion, one hundred eighty billion, one hundred thirty-three million, three hundred twenty-one thousand, seven hundred five".