8057082916241 has 2 divisors, whose sum is σ = 8057082916242. Its totient is φ = 8057082916240.

The previous prime is 8057082916219. The next prime is 8057082916243. The reversal of 8057082916241 is 1426192807508.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6443982250000 + 1613100666241 = 2538500^2 + 1270079^2 .

It is a cyclic number.

It is not a de Polignac number, because 8057082916241 - 2⁶ = 8057082916177 is a prime.

It is a Sophie Germain prime.

Together with 8057082916243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (8057082916243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4028541458120 + 4028541458121.

It is an arithmetic number, because the mean of its divisors is an integer number (4028541458121).

Almost surely, 2^{8057082916241} is an apocalyptic number.

It is an amenable number.

8057082916241 is a deficient number, since it is larger than the sum of its proper divisors (1).

8057082916241 is an equidigital number, since it uses as much as digits as its factorization.

8057082916241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 8057082916241 in words is "eight trillion, fifty-seven billion, eighty-two million, nine hundred sixteen thousand, two hundred forty-one".