11587751807017 has 2 divisors, whose sum is σ = 11587751807018. Its totient is φ = 11587751807016.

The previous prime is 11587751806937. The next prime is 11587751807041. The reversal of 11587751807017 is 71070815778511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8206643596176 + 3381108210841 = 2864724^2 + 1838779^2 .

It is a cyclic number.

It is not a de Polignac number, because 11587751807017 - 2¹⁹ = 11587751282729 is a prime.

It is not a weakly prime, because it can be changed into another prime (11587751807717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5793875903508 + 5793875903509.

It is an arithmetic number, because the mean of its divisors is an integer number (5793875903509).

Almost surely, 2^{11587751807017} is an apocalyptic number.

It is an amenable number.

11587751807017 is a deficient number, since it is larger than the sum of its proper divisors (1).

11587751807017 is an equidigital number, since it uses as much as digits as its factorization.

11587751807017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3841600, while the sum is 58.

The spelling of 11587751807017 in words is "eleven trillion, five hundred eighty-seven billion, seven hundred fifty-one million, eight hundred seven thousand, seventeen".