10004525312017 has 2 divisors, whose sum is σ = 10004525312018. Its totient is φ = 10004525312016.

The previous prime is 10004525311927. The next prime is 10004525312071. The reversal of 10004525312017 is 71021352540001.

Together with next prime (10004525312071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7199556873601 + 2804968438416 = 2683199^2 + 1674804^2 .

It is an emirp because it is prime and its reverse (71021352540001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10004525312017 - 2¹⁹ = 10004524787729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10004525312017.

It is not a weakly prime, because it can be changed into another prime (10004525312077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002262656008 + 5002262656009.

It is an arithmetic number, because the mean of its divisors is an integer number (5002262656009).

Almost surely, 2^{10004525312017} is an apocalyptic number.

It is an amenable number.

10004525312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

10004525312017 is an equidigital number, since it uses as much as digits as its factorization.

10004525312017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 10004525312017 its reverse (71021352540001), we get a palindrome (81025877852018).

The spelling of 10004525312017 in words is "ten trillion, four billion, five hundred twenty-five million, three hundred twelve thousand, seventeen".