563516560 has 40 divisors (see below), whose sum is σ = 1367144640. Its totient is φ = 215605632.

The previous prime is 563516507. The next prime is 563516579. The reversal of 563516560 is 65615365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 151290 + ... + 154969.

It is an arithmetic number, because the mean of its divisors is an integer number (34178616).

Almost surely, 2^563516560 is an apocalyptic number.

It is an amenable number.

563516560 is an abundant number, since it is smaller than the sum of its proper divisors (803628080).

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

563516560 is a wasteful number, since it uses less digits than its factorization.

563516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306295 (or 306289 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 37.

The square root of 563516560 is about 23738.5037439178. The cubic root of 563516560 is about 825.9787880980.

It can be divided in two parts, 5635 and 16560, that multiplied together give a square (93315600 = 9660²).

The spelling of 563516560 in words is "five hundred sixty-three million, five hundred sixteen thousand, five hundred sixty".