19105725641393 has 2 divisors, whose sum is σ = 19105725641394. Its totient is φ = 19105725641392.

The previous prime is 19105725641311. The next prime is 19105725641461. The reversal of 19105725641393 is 39314652750191.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14263138095649 + 4842587545744 = 3776657^2 + 2200588^2 .

It is a cyclic number.

It is not a de Polignac number, because 19105725641393 - 2²⁸ = 19105457205937 is a prime.

It is a super-2 number, since 2×19105725641393² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (19105725646393) 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, 9552862820696 + 9552862820697.

It is an arithmetic number, because the mean of its divisors is an integer number (9552862820697).

Almost surely, 2^{19105725641393} is an apocalyptic number.

It is an amenable number.

19105725641393 is a deficient number, since it is larger than the sum of its proper divisors (1).

19105725641393 is an equidigital number, since it uses as much as digits as its factorization.

19105725641393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6123600, while the sum is 56.

The spelling of 19105725641393 in words is "nineteen trillion, one hundred five billion, seven hundred twenty-five million, six hundred forty-one thousand, three hundred ninety-three".