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563350225 = 524721012
BaseRepresentation
bin100001100101000…
…000101011010001
31110021001011020011
4201211000223101
52123204201400
6131522314521
716650253324
oct4145005321
91407034204
10563350225
11269aa63a9
121387b8a41
138c935c39
1454b667bb
15346cd8ba
hex21940ad1

563350225 has 27 divisors (see below), whose sum is σ = 720870001. Its totient is φ = 436724000.

The previous prime is 563350217. The next prime is 563350237. The reversal of 563350225 is 522053365.

The square root of 563350225 is 23735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 104019601 + 459330624 = 10199^2 + 21432^2 .

It is not a de Polignac number, because 563350225 - 23 = 563350217 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 5577675 + ... + 5577775.

Almost surely, 2563350225 is an apocalyptic number.

563350225 is the 23735-th square number.

563350225 is the 11868-th centered octagonal number.

It is an amenable number.

563350225 is a deficient number, since it is larger than the sum of its proper divisors (157519776).

563350225 is an equidigital number, since it uses as much as digits as its factorization.

563350225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The cubic root of 563350225 is about 825.8975111598.

The spelling of 563350225 in words is "five hundred sixty-three million, three hundred fifty thousand, two hundred twenty-five".

Divisors: 1 5 25 47 101 235 505 1175 2209 2525 4747 10201 11045 23735 51005 55225 118675 223109 255025 479447 1115545 2397235 5577725 11986175 22534009 112670045 563350225