19577518773073 has 2 divisors, whose sum is σ = 19577518773074. Its totient is φ = 19577518773072.

The previous prime is 19577518773041. The next prime is 19577518773107. The reversal of 19577518773073 is 37037781577591.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9928593035089 + 9648925737984 = 3150967^2 + 3106272^2 .

It is a cyclic number.

It is not a de Polignac number, because 19577518773073 - 2⁵ = 19577518773041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 19577518772993 and 19577518773011.

It is not a weakly prime, because it can be changed into another prime (19577518773173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9788759386536 + 9788759386537.

It is an arithmetic number, because the mean of its divisors is an integer number (9788759386537).

Almost surely, 2^{19577518773073} is an apocalyptic number.

It is an amenable number.

19577518773073 is a deficient number, since it is larger than the sum of its proper divisors (1).

19577518773073 is an equidigital number, since it uses as much as digits as its factorization.

19577518773073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272273400, while the sum is 70.

The spelling of 19577518773073 in words is "nineteen trillion, five hundred seventy-seven billion, five hundred eighteen million, seven hundred seventy-three thousand, seventy-three".