10563504 has 80 divisors (see below), whose sum is σ = 31545600. Its totient is φ = 2983680.

The previous prime is 10563491. The next prime is 10563547. The reversal of 10563504 is 40536501.

It is a super-2 number, since 2×10563504² = 223175233516032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 49959 + ... + 50169.

It is an arithmetic number, because the mean of its divisors is an integer number (394320).

Almost surely, 2^10563504 is an apocalyptic number.

10563504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772800).

10563504 is an abundant number, since it is smaller than the sum of its proper divisors (20982096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10563504 is a wasteful number, since it uses less digits than its factorization.

10563504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 10563504 is about 3250.1544578681. The cubic root of 10563504 is about 219.4165255277.

It can be divided in two parts, 1056 and 3504, that added together give a triangular number (4560 = T₉₅).

The spelling of 10563504 in words is "ten million, five hundred sixty-three thousand, five hundred four".