10585360361 has 8 divisors (see below), whose sum is σ = 10845076704. Its totient is φ = 10325717280.

The previous prime is 10585360339. The next prime is 10585360417. The reversal of 10585360361 is 16306358501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10585360361 is a prime.

It is a super-2 number, since 2×10585360361² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10585360321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377906 + ... + 404948.

It is an arithmetic number, because the mean of its divisors is an integer number (1355634588).

Almost surely, 2^10585360361 is an apocalyptic number.

It is an amenable number.

10585360361 is a deficient number, since it is larger than the sum of its proper divisors (259716343).

10585360361 is an equidigital number, since it uses as much as digits as its factorization.

10585360361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36631.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 10585360361 in words is "ten billion, five hundred eighty-five million, three hundred sixty thousand, three hundred sixty-one".