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680784961 is a prime number
BaseRepresentation
bin101000100100111…
…111010001000001
31202110000110101211
4220210333101001
52343240104321
6151315330121
722604401543
oct5044772101
91673013354
10680784961
1131a3158aa
1216bbb0941
13ab07234c
14665b5693
153eb790e1
hex2893f441

680784961 has 2 divisors, whose sum is σ = 680784962. Its totient is φ = 680784960.

The previous prime is 680784913. The next prime is 680784967. The reversal of 680784961 is 169487086.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 617820736 + 62964225 = 24856^2 + 7935^2 .

It is a cyclic number.

It is not a de Polignac number, because 680784961 - 27 = 680784833 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (680784967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 340392480 + 340392481.

It is an arithmetic number, because the mean of its divisors is an integer number (340392481).

Almost surely, 2680784961 is an apocalyptic number.

It is an amenable number.

680784961 is a deficient number, since it is larger than the sum of its proper divisors (1).

680784961 is an equidigital number, since it uses as much as digits as its factorization.

680784961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 680784961 is about 26091.8562199013. The cubic root of 680784961 is about 879.7041709654.

The spelling of 680784961 in words is "six hundred eighty million, seven hundred eighty-four thousand, nine hundred sixty-one".