82100071906281 has 81 divisors (see below), whose sum is σ = 141154783037541. Its totient is φ = 45927935539200.

The previous prime is 82100071906271. The next prime is 82100071906289. The reversal of 82100071906281 is 18260917000128.

The square root of 82100071906281 is 9060909.

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

82100071906281 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 0 + 0 + 7 + 19 + 0 + 628 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1799045451225 + 80301026455056 = 1341285^2 + 8961084^2 .

It is not a de Polignac number, because 82100071906281 - 2⁵ = 82100071906249 is a prime.

It is a super-2 number, since 2×82100071906281² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82100071906289) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3887119401 + ... + 3887140521.

Almost surely, 2^{82100071906281} is an apocalyptic number.

82100071906281 is the 9060909-th square number.

82100071906281 is the 4530455-th centered octagonal number.

It is an amenable number.

82100071906281 is a deficient number, since it is larger than the sum of its proper divisors (59054711131260).

82100071906281 is an equidigital number, since it uses as much as digits as its factorization.

82100071906281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42296 (or 21148 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 82100071906281 in words is "eighty-two trillion, one hundred billion, seventy-one million, nine hundred six thousand, two hundred eighty-one".