11582535138073 has 2 divisors, whose sum is σ = 11582535138074. Its totient is φ = 11582535138072.

The previous prime is 11582535137981. The next prime is 11582535138077. The reversal of 11582535138073 is 37083153528511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7266329445769 + 4316205692304 = 2695613^2 + 2077548^2 .

It is a cyclic number.

It is not a de Polignac number, because 11582535138073 - 2³⁷ = 11445096184601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11582535138073.

It is not a weakly prime, because it can be changed into another prime (11582535138077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5791267569036 + 5791267569037.

It is an arithmetic number, because the mean of its divisors is an integer number (5791267569037).

Almost surely, 2^{11582535138073} is an apocalyptic number.

It is an amenable number.

11582535138073 is a deficient number, since it is larger than the sum of its proper divisors (1).

11582535138073 is an equidigital number, since it uses as much as digits as its factorization.

11582535138073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024000, while the sum is 52.

The spelling of 11582535138073 in words is "eleven trillion, five hundred eighty-two billion, five hundred thirty-five million, one hundred thirty-eight thousand, seventy-three".