10585263 has 16 divisors (see below), whose sum is σ = 15430016. Its totient is φ = 6415200.

The previous prime is 10585259. The next prime is 10585273. The reversal of 10585263 is 36258501.

It is not a de Polignac number, because 10585263 - 2² = 10585259 is a prime.

It is a super-2 number, since 2×10585263² = 224095585558338, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is the 3254-th Hogben number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10585263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585243) by changing a digit.

It is a nontrivial repunit in base 3253.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588 + ... + 4638.

It is an arithmetic number, because the mean of its divisors is an integer number (964376).

Almost surely, 2^10585263 is an apocalyptic number.

10585263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10585263 is a deficient number, since it is larger than the sum of its proper divisors (4844753).

10585263 is a wasteful number, since it uses less digits than its factorization.

10585263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4134.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 10585263 is about 3253.5001152605. The cubic root of 10585263 is about 219.5670756310.

The spelling of 10585263 in words is "ten million, five hundred eighty-five thousand, two hundred sixty-three".