563122560 has 512 divisors, whose sum is σ = 2418232320. Its totient is φ = 107642880.

The previous prime is 563122559. The next prime is 563122561. The reversal of 563122560 is 65221365.

It is an interprime number because it is at equal distance from previous prime (563122559) and next prime (563122561).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563122561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1921774 + ... + 1922066.

It is an arithmetic number, because the mean of its divisors is an integer number (4723110).

Almost surely, 2^563122560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209116160).

563122560 is an abundant number, since it is smaller than the sum of its proper divisors (1855109760).

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

563122560 is a wasteful number, since it uses less digits than its factorization.

563122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 563122560 is about 23730.2035389501. The cubic root of 563122560 is about 825.7862403593.

The spelling of 563122560 in words is "five hundred sixty-three million, one hundred twenty-two thousand, five hundred sixty".