10580057895317 has 2 divisors, whose sum is σ = 10580057895318. Its totient is φ = 10580057895316.

The previous prime is 10580057895289. The next prime is 10580057895397. The reversal of 10580057895317 is 71359875008501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10306193026276 + 273864869041 = 3210326^2 + 523321^2 .

It is an emirp because it is prime and its reverse (71359875008501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10580057895317 is a prime.

It is a super-2 number, since 2×10580057895317² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10580057895397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5290028947658 + 5290028947659.

It is an arithmetic number, because the mean of its divisors is an integer number (5290028947659).

Almost surely, 2^{10580057895317} is an apocalyptic number.

It is an amenable number.

10580057895317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580057895317 is an equidigital number, since it uses as much as digits as its factorization.

10580057895317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584000, while the sum is 59.

The spelling of 10580057895317 in words is "ten trillion, five hundred eighty billion, fifty-seven million, eight hundred ninety-five thousand, three hundred seventeen".