10585552 has 20 divisors (see below), whose sum is σ = 21064996. Its totient is φ = 5149440.

The previous prime is 10585541. The next prime is 10585559. The reversal of 10585552 is 25558501.

It can be written as a sum of positive squares in 2 ways, for example, as 6990736 + 3594816 = 2644^2 + 1896^2 .

It is a super-2 number, since 2×10585552² = 224107822289408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585559) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8349 + ... + 9532.

Almost surely, 2^10585552 is an apocalyptic number.

It is an amenable number.

10585552 is a deficient number, since it is larger than the sum of its proper divisors (10479444).

10585552 is a wasteful number, since it uses less digits than its factorization.

10585552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17926 (or 17920 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

The square root of 10585552 is about 3253.5445286641. The cubic root of 10585552 is about 219.5690738275.

The spelling of 10585552 in words is "ten million, five hundred eighty-five thousand, five hundred fifty-two".