8205782131 has 2 divisors, whose sum is σ = 8205782132. Its totient is φ = 8205782130.

The previous prime is 8205782129. The next prime is 8205782141. The reversal of 8205782131 is 1312875028.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 8205782131 - 2¹ = 8205782129 is a prime.

It is a super-2 number, since 2×8205782131² (a number of 21 digits) contains 22 as substring.

Together with 8205782129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (8205782141) 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 as a sum of consecutive naturals, namely, 4102891065 + 4102891066.

It is an arithmetic number, because the mean of its divisors is an integer number (4102891066).

Almost surely, 2^8205782131 is an apocalyptic number.

8205782131 is a deficient number, since it is larger than the sum of its proper divisors (1).

8205782131 is an equidigital number, since it uses as much as digits as its factorization.

8205782131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 8205782131 is about 90585.7722327298. The cubic root of 8205782131 is about 2017.0035410402.

The spelling of 8205782131 in words is "eight billion, two hundred five million, seven hundred eighty-two thousand, one hundred thirty-one".