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563424225 = 352713312663
BaseRepresentation
bin100001100101010…
…010101111100001
31110021011220201220
4201211102233201
52123214033400
6131524045253
716651012140
oct4145225741
91407156656
10563424225
1126a046a61
12138833829
138c960820
1454b85757
15346e57a0
hex21952be1

563424225 has 96 divisors (see below), whose sum is σ = 1183924224. Its totient is φ = 229996800.

The previous prime is 563424223. The next prime is 563424241. The reversal of 563424225 is 522424365.

It is a happy number.

It is not a de Polignac number, because 563424225 - 21 = 563424223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (563424223) 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, 210244 + ... + 212906.

It is an arithmetic number, because the mean of its divisors is an integer number (12332544).

Almost surely, 2563424225 is an apocalyptic number.

It is an amenable number.

563424225 is an abundant number, since it is smaller than the sum of its proper divisors (620499999).

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

563424225 is a wasteful number, since it uses less digits than its factorization.

563424225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2722 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 563424225 is about 23736.5588281031. The cubic root of 563424225 is about 825.9336720519.

The spelling of 563424225 in words is "five hundred sixty-three million, four hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 31 35 39 65 75 91 93 105 155 175 195 217 273 325 403 455 465 525 651 775 975 1085 1209 1365 2015 2275 2325 2663 2821 3255 5425 6045 6825 7989 8463 10075 13315 14105 16275 18641 30225 34619 39945 42315 55923 66575 70525 82553 93205 103857 173095 199725 211575 242333 247659 279615 412765 466025 519285 577871 726999 865475 1073189 1211665 1238295 1398075 1733613 2063825 2596425 2889355 3219567 3634995 5365945 6058325 6191475 7512323 8668065 14446775 16097835 18174975 22536969 26829725 37561615 43340325 80489175 112684845 187808075 563424225