6788105566001 has 2 divisors, whose sum is σ = 6788105566002. Its totient is φ = 6788105566000.

The previous prime is 6788105565931. The next prime is 6788105566003. The reversal of 6788105566001 is 1006655018876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5221225000000 + 1566880566001 = 2285000^2 + 1251751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6788105566001 is a prime.

Together with 6788105566003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (6788105566003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3394052783000 + 3394052783001.

It is an arithmetic number, because the mean of its divisors is an integer number (3394052783001).

Almost surely, 2^{6788105566001} is an apocalyptic number.

It is an amenable number.

6788105566001 is a deficient number, since it is larger than the sum of its proper divisors (1).

6788105566001 is an equidigital number, since it uses as much as digits as its factorization.

6788105566001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 53.

The spelling of 6788105566001 in words is "six trillion, seven hundred eighty-eight billion, one hundred five million, five hundred sixty-six thousand, one".