19413177106541 has 2 divisors, whose sum is σ = 19413177106542. Its totient is φ = 19413177106540.

The previous prime is 19413177106507. The next prime is 19413177106559. The reversal of 19413177106541 is 14560177131491.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16283073082441 + 3130104024100 = 4035229^2 + 1769210^2 .

It is an emirp because it is prime and its reverse (14560177131491) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-19413177106541 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 19413177106541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19413177106241) 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, 9706588553270 + 9706588553271.

It is an arithmetic number, because the mean of its divisors is an integer number (9706588553271).

Almost surely, 2^{19413177106541} is an apocalyptic number.

It is an amenable number.

19413177106541 is a deficient number, since it is larger than the sum of its proper divisors (1).

19413177106541 is an equidigital number, since it uses as much as digits as its factorization.

19413177106541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 635040, while the sum is 50.

The spelling of 19413177106541 in words is "nineteen trillion, four hundred thirteen billion, one hundred seventy-seven million, one hundred six thousand, five hundred forty-one".