77575610776201 has 2 divisors, whose sum is σ = 77575610776202. Its totient is φ = 77575610776200.

The previous prime is 77575610776171. The next prime is 77575610776229. The reversal of 77575610776201 is 10267701657577.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74051205300601 + 3524405475600 = 8605301^2 + 1877340^2 .

It is a cyclic number.

It is not a de Polignac number, because 77575610776201 - 2²⁹ = 77575073905289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77575610776201.

It is not a weakly prime, because it can be changed into another prime (77575610776231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38787805388100 + 38787805388101.

It is an arithmetic number, because the mean of its divisors is an integer number (38787805388101).

Almost surely, 2^{77575610776201} is an apocalyptic number.

It is an amenable number.

77575610776201 is a deficient number, since it is larger than the sum of its proper divisors (1).

77575610776201 is an equidigital number, since it uses as much as digits as its factorization.

77575610776201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30252600, while the sum is 61.

The spelling of 77575610776201 in words is "seventy-seven trillion, five hundred seventy-five billion, six hundred ten million, seven hundred seventy-six thousand, two hundred one".