8057641978517 has 2 divisors, whose sum is σ = 8057641978518. Its totient is φ = 8057641978516.

The previous prime is 8057641978391. The next prime is 8057641978549. The reversal of 8057641978517 is 7158791467508.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4650789851761 + 3406852126756 = 2156569^2 + 1845766^2 .

It is a cyclic number.

It is not a de Polignac number, because 8057641978517 - 2⁸ = 8057641978261 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8057641978567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4028820989258 + 4028820989259.

It is an arithmetic number, because the mean of its divisors is an integer number (4028820989259).

Almost surely, 2^{8057641978517} is an apocalyptic number.

It is an amenable number.

8057641978517 is a deficient number, since it is larger than the sum of its proper divisors (1).

8057641978517 is an equidigital number, since it uses as much as digits as its factorization.

8057641978517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118540800, while the sum is 68.

The spelling of 8057641978517 in words is "eight trillion, fifty-seven billion, six hundred forty-one million, nine hundred seventy-eight thousand, five hundred seventeen".