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563825025 = 325215832
BaseRepresentation
bin100001100110110…
…100100110000001
31110021221021112100
4201212310212001
52123314400100
6131540421013
716654301511
oct4146644601
91407837470
10563825025
1126a2a00a5
121389a7769
138ca7109a
1454c4b841
1534774400
hex219b4981

563825025 has 27 divisors (see below), whose sum is σ = 1010511619. Its totient is φ = 300516720.

The previous prime is 563825011. The next prime is 563825027. The reversal of 563825025 is 520528365.

It is a happy number.

The square root of 563825025 is 23745.

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

It can be written as a sum of positive squares in only one way, i.e., 202977009 + 360848016 = 14247^2 + 18996^2 .

It is not a de Polignac number, because 563825025 - 27 = 563824897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (563825027) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 355384 + ... + 356966.

Almost surely, 2563825025 is an apocalyptic number.

563825025 is the 23745-th square number.

563825025 is the 11873-rd centered octagonal number.

It is an amenable number.

563825025 is a deficient number, since it is larger than the sum of its proper divisors (446686594).

563825025 is an equidigital number, since it uses as much as digits as its factorization.

563825025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The cubic root of 563825025 is about 826.1294722658.

Multiplying 563825025 by its sum of digits (36), we get a square (20297700900 = 1424702).

The spelling of 563825025 in words is "five hundred sixty-three million, eight hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1583 4749 7915 14247 23745 39575 71235 118725 356175 2505889 7517667 12529445 22553001 37588335 62647225 112765005 187941675 563825025