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564608657 is a prime number
BaseRepresentation
bin100001101001110…
…011111010010001
31110100102002110202
4201221303322101
52124014434112
6132005304545
716664044244
oct4151637221
91410362422
10564608657
1126a785928
12139105155
138cc86982
1454db325b
153487b6c2
hex21a73e91

564608657 has 2 divisors, whose sum is σ = 564608658. Its totient is φ = 564608656.

The previous prime is 564608621. The next prime is 564608677. The reversal of 564608657 is 756806465.

564608657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 564347536 + 261121 = 23756^2 + 511^2 .

It is a cyclic number.

It is not a de Polignac number, because 564608657 - 26 = 564608593 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (564608677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 282304328 + 282304329.

It is an arithmetic number, because the mean of its divisors is an integer number (282304329).

Almost surely, 2564608657 is an apocalyptic number.

It is an amenable number.

564608657 is a deficient number, since it is larger than the sum of its proper divisors (1).

564608657 is an equidigital number, since it uses as much as digits as its factorization.

564608657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1209600, while the sum is 47.

The square root of 564608657 is about 23761.4952601893. The cubic root of 564608657 is about 826.5120270020.

The spelling of 564608657 in words is "five hundred sixty-four million, six hundred eight thousand, six hundred fifty-seven".