10585379527361 has 2 divisors, whose sum is σ = 10585379527362. Its totient is φ = 10585379527360.

The previous prime is 10585379527357. The next prime is 10585379527403. The reversal of 10585379527361 is 16372597358501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10301333165761 + 284046361600 = 3209569^2 + 532960^2 .

It is an emirp because it is prime and its reverse (16372597358501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10585379527361 - 2² = 10585379527357 is a prime.

It is a super-2 number, since 2×10585379527361² (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10585379527294 and 10585379527303.

It is not a weakly prime, because it can be changed into another prime (10585379527061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292689763680 + 5292689763681.

It is an arithmetic number, because the mean of its divisors is an integer number (5292689763681).

Almost surely, 2^{10585379527361} is an apocalyptic number.

It is an amenable number.

10585379527361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10585379527361 is an equidigital number, since it uses as much as digits as its factorization.

10585379527361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628000, while the sum is 62.

The spelling of 10585379527361 in words is "ten trillion, five hundred eighty-five billion, three hundred seventy-nine million, five hundred twenty-seven thousand, three hundred sixty-one".