82269029106261 has 24 divisors (see below), whose sum is σ = 119018322783360. Its totient is φ = 54760517150976.

The previous prime is 82269029106227. The next prime is 82269029106281. The reversal of 82269029106261 is 16260192096228.

82269029106261 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 9 + 0 + 2 + 9 + 1 + 0 + 626 + 1 = 666.

It is not a de Polignac number, because 82269029106261 - 2⁷ = 82269029106133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82269029106198 and 82269029106207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82269029106211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83453940 + ... + 84433986.

It is an arithmetic number, because the mean of its divisors is an integer number (4959096782640).

Almost surely, 2^{82269029106261} is an apocalyptic number.

It is an amenable number.

82269029106261 is a deficient number, since it is larger than the sum of its proper divisors (36749293677099).

82269029106261 is a wasteful number, since it uses less digits than its factorization.

82269029106261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994585 (or 994582 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 82269029106261 in words is "eighty-two trillion, two hundred sixty-nine billion, twenty-nine million, one hundred six thousand, two hundred sixty-one".