77582320241 has 2 divisors, whose sum is σ = 77582320242. Its totient is φ = 77582320240.

The previous prime is 77582320201. The next prime is 77582320297. The reversal of 77582320241 is 14202328577.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44411347600 + 33170972641 = 210740^2 + 182129^2 .

It is an emirp because it is prime and its reverse (14202328577) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77582320241 is a prime.

It is not a weakly prime, because it can be changed into another prime (77582320201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38791160120 + 38791160121.

It is an arithmetic number, because the mean of its divisors is an integer number (38791160121).

Almost surely, 2^77582320241 is an apocalyptic number.

It is an amenable number.

77582320241 is a deficient number, since it is larger than the sum of its proper divisors (1).

77582320241 is an equidigital number, since it uses as much as digits as its factorization.

77582320241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 77582320241 in words is "seventy-seven billion, five hundred eighty-two million, three hundred twenty thousand, two hundred forty-one".