10193725713601 has 2 divisors, whose sum is σ = 10193725713602. Its totient is φ = 10193725713600.

The previous prime is 10193725713557. The next prime is 10193725713643. The reversal of 10193725713601 is 10631752739101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8221523982400 + 1972201731201 = 2867320^2 + 1404351^2 .

It is a cyclic number.

It is not a de Polignac number, because 10193725713601 - 2²³ = 10193717324993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10193725711601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5096862856800 + 5096862856801.

It is an arithmetic number, because the mean of its divisors is an integer number (5096862856801).

Almost surely, 2^{10193725713601} is an apocalyptic number.

It is an amenable number.

10193725713601 is a deficient number, since it is larger than the sum of its proper divisors (1).

10193725713601 is an equidigital number, since it uses as much as digits as its factorization.

10193725713601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 238140, while the sum is 46.

The spelling of 10193725713601 in words is "ten trillion, one hundred ninety-three billion, seven hundred twenty-five million, seven hundred thirteen thousand, six hundred one".