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9968000573 is a prime number
BaseRepresentation
bin10010100100010001…
…11001111000111101
3221201200112220011102
421102020321320331
5130403302004243
64325040502445
7502005415106
oct112210717075
927650486142
109968000573
114255749403
121b2231aa25
13c2b1953bb
146a7bd33ad
153d518b9b8
hex252239e3d

9968000573 has 2 divisors, whose sum is σ = 9968000574. Its totient is φ = 9968000572.

The previous prime is 9968000527. The next prime is 9968000579. The reversal of 9968000573 is 3750008699.

9968000573 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., 7251714649 + 2716285924 = 85157^2 + 52118^2 .

It is a cyclic number.

It is not a de Polignac number, because 9968000573 - 212 = 9967996477 is a prime.

It is a super-2 number, since 2×99680005732 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9968000579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4984000286 + 4984000287.

It is an arithmetic number, because the mean of its divisors is an integer number (4984000287).

Almost surely, 29968000573 is an apocalyptic number.

It is an amenable number.

9968000573 is a deficient number, since it is larger than the sum of its proper divisors (1).

9968000573 is an equidigital number, since it uses as much as digits as its factorization.

9968000573 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 9968000573 is about 99839.8746643845. The cubic root of 9968000573 is about 2152.1342119652.

The spelling of 9968000573 in words is "nine billion, nine hundred sixty-eight million, five hundred seventy-three", and thus it is an aban number.