1075202265217 has 2 divisors, whose sum is σ = 1075202265218. Its totient is φ = 1075202265216.

The previous prime is 1075202265199. The next prime is 1075202265251. The reversal of 1075202265217 is 7125622025701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 703838780401 + 371363484816 = 838951^2 + 609396^2 .

It is a cyclic number.

It is not a de Polignac number, because 1075202265217 - 2⁷ = 1075202265089 is a prime.

It is a super-2 number, since 2×1075202265217² (a number of 25 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 1075202265217.

It is not a weakly prime, because it can be changed into another prime (1075202265257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 537601132608 + 537601132609.

It is an arithmetic number, because the mean of its divisors is an integer number (537601132609).

Almost surely, 2^{1075202265217} is an apocalyptic number.

It is an amenable number.

1075202265217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1075202265217 is an equidigital number, since it uses as much as digits as its factorization.

1075202265217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 1075202265217 in words is "one trillion, seventy-five billion, two hundred two million, two hundred sixty-five thousand, two hundred seventeen".