10638563 has 8 divisors (see below), whose sum is σ = 11852400. Its totient is φ = 9481248.

The previous prime is 10638541. The next prime is 10638571. The reversal of 10638563 is 36583601.

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

It is a cyclic number.

It is not a de Polignac number, because 10638563 - 2⁸ = 10638307 is a prime.

It is a super-2 number, since 2×10638563² = 226358045409938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10638533) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13733 + ... + 14486.

It is an arithmetic number, because the mean of its divisors is an integer number (1481550).

Almost surely, 2^10638563 is an apocalyptic number.

10638563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10638563 is a deficient number, since it is larger than the sum of its proper divisors (1213837).

10638563 is a wasteful number, since it uses less digits than its factorization.

10638563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28261.

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 10638563 is about 3261.6810083146. The cubic root of 10638563 is about 219.9349876771.

The spelling of 10638563 in words is "ten million, six hundred thirty-eight thousand, five hundred sixty-three".