10575011523217 has 2 divisors, whose sum is σ = 10575011523218. Its totient is φ = 10575011523216.

The previous prime is 10575011523143. The next prime is 10575011523227. The reversal of 10575011523217 is 71232511057501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8339989513216 + 2235022010001 = 2887904^2 + 1494999^2 .

It is an emirp because it is prime and its reverse (71232511057501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10575011523217 is a prime.

It is a super-2 number, since 2×10575011523217² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10575011523217.

It is not a weakly prime, because it can be changed into another prime (10575011523227) 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, 5287505761608 + 5287505761609.

It is an arithmetic number, because the mean of its divisors is an integer number (5287505761609).

Almost surely, 2^{10575011523217} is an apocalyptic number.

It is an amenable number.

10575011523217 is a deficient number, since it is larger than the sum of its proper divisors (1).

10575011523217 is an equidigital number, since it uses as much as digits as its factorization.

10575011523217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73500, while the sum is 40.

The spelling of 10575011523217 in words is "ten trillion, five hundred seventy-five billion, eleven million, five hundred twenty-three thousand, two hundred seventeen".