6777801575953 has 2 divisors, whose sum is σ = 6777801575954. Its totient is φ = 6777801575952.

The previous prime is 6777801575911. The next prime is 6777801575957. The reversal of 6777801575953 is 3595751087776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6246115603729 + 531685972224 = 2499223^2 + 729168^2 .

It is a cyclic number.

It is not a de Polignac number, because 6777801575953 - 2¹⁷ = 6777801444881 is a prime.

It is not a weakly prime, because it can be changed into another prime (6777801575957) 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, 3388900787976 + 3388900787977.

It is an arithmetic number, because the mean of its divisors is an integer number (3388900787977).

Almost surely, 2^{6777801575953} is an apocalyptic number.

It is an amenable number.

6777801575953 is a deficient number, since it is larger than the sum of its proper divisors (1).

6777801575953 is an equidigital number, since it uses as much as digits as its factorization.

6777801575953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388962000, while the sum is 70.

The spelling of 6777801575953 in words is "six trillion, seven hundred seventy-seven billion, eight hundred one million, five hundred seventy-five thousand, nine hundred fifty-three".