10140585876521 has 2 divisors, whose sum is σ = 10140585876522. Its totient is φ = 10140585876520.

The previous prime is 10140585876517. The next prime is 10140585876529. The reversal of 10140585876521 is 12567858504101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9657923598400 + 482662278121 = 3107720^2 + 694739^2 .

It is an emirp because it is prime and its reverse (12567858504101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10140585876521 - 2² = 10140585876517 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10140585876529) 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, 5070292938260 + 5070292938261.

It is an arithmetic number, because the mean of its divisors is an integer number (5070292938261).

Almost surely, 2^{10140585876521} is an apocalyptic number.

It is an amenable number.

10140585876521 is a deficient number, since it is larger than the sum of its proper divisors (1).

10140585876521 is an equidigital number, since it uses as much as digits as its factorization.

10140585876521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688000, while the sum is 53.

The spelling of 10140585876521 in words is "ten trillion, one hundred forty billion, five hundred eighty-five million, eight hundred seventy-six thousand, five hundred twenty-one".