10585237317 has 8 divisors (see below), whose sum is σ = 14114157120. Its totient is φ = 7056571200.

The previous prime is 10585237291. The next prime is 10585237319. The reversal of 10585237317 is 71373258501.

It is a happy number.

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

It is not a de Polignac number, because 10585237317 - 2⁷ = 10585237189 is a prime.

It is a super-2 number, since 2×10585237317² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585237319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80784 + ... + 166422.

It is an arithmetic number, because the mean of its divisors is an integer number (1764269640).

Almost surely, 2^10585237317 is an apocalyptic number.

It is an amenable number.

10585237317 is a deficient number, since it is larger than the sum of its proper divisors (3528919803).

10585237317 is an equidigital number, since it uses as much as digits as its factorization.

10585237317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126843.

The product of its (nonzero) digits is 176400, while the sum is 42.

The spelling of 10585237317 in words is "ten billion, five hundred eighty-five million, two hundred thirty-seven thousand, three hundred seventeen".