11456501325193 has 2 divisors, whose sum is σ = 11456501325194. Its totient is φ = 11456501325192.

The previous prime is 11456501325083. The next prime is 11456501325209. The reversal of 11456501325193 is 39152310565411.

11456501325193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8058348270729 + 3398153054464 = 2838723^2 + 1843408^2 .

It is a cyclic number.

It is not a de Polignac number, because 11456501325193 - 2²⁹ = 11455964454281 is a prime.

It is a super-2 number, since 2×11456501325193² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11456501320193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5728250662596 + 5728250662597.

It is an arithmetic number, because the mean of its divisors is an integer number (5728250662597).

Almost surely, 2^{11456501325193} is an apocalyptic number.

It is an amenable number.

11456501325193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11456501325193 is an equidigital number, since it uses as much as digits as its factorization.

11456501325193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486000, while the sum is 46.

The spelling of 11456501325193 in words is "eleven trillion, four hundred fifty-six billion, five hundred one million, three hundred twenty-five thousand, one hundred ninety-three".