563126256 has 480 divisors, whose sum is σ = 2163750400. Its totient is φ = 138568320.

The previous prime is 563126251. The next prime is 563126257. The reversal of 563126256 is 652621365.

It is a happy number.

It is a super-2 number, since 2×563126256² = 634222360393155072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 563126256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563126251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29638215 + ... + 29638233.

Almost surely, 2^563126256 is an apocalyptic number.

563126256 is a gapful number since it is divisible by the number (56) 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 563126256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081875200).

563126256 is an abundant number, since it is smaller than the sum of its proper divisors (1600624144).

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

563126256 is a wasteful number, since it uses less digits than its factorization.

563126256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 42 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 563126256 is about 23730.2814142606. The cubic root of 563126256 is about 825.7880470111.

The spelling of 563126256 in words is "five hundred sixty-three million, one hundred twenty-six thousand, two hundred fifty-six".