8005707041 has 2 divisors, whose sum is σ = 8005707042. Its totient is φ = 8005707040.

The previous prime is 8005707029. The next prime is 8005707043. The reversal of 8005707041 is 1407075008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5592048400 + 2413658641 = 74780^2 + 49129^2 .

It is a cyclic number.

It is not a de Polignac number, because 8005707041 - 2¹⁸ = 8005444897 is a prime.

Together with 8005707043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 8005706989 and 8005707007.

It is not a weakly prime, because it can be changed into another prime (8005707043) 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, 4002853520 + 4002853521.

It is an arithmetic number, because the mean of its divisors is an integer number (4002853521).

Almost surely, 2^8005707041 is an apocalyptic number.

It is an amenable number.

8005707041 is a deficient number, since it is larger than the sum of its proper divisors (1).

8005707041 is an equidigital number, since it uses as much as digits as its factorization.

8005707041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 8005707041 is about 89474.6167412859. The cubic root of 8005707041 is about 2000.4754737034.

The spelling of 8005707041 in words is "eight billion, five million, seven hundred seven thousand, forty-one".