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10635035009 is a prime number
BaseRepresentation
bin10011110011110010…
…11100000110000001
31000110011200202101112
421321321130012001
5133240032110014
64515145413105
7524355206654
oct117171340601
930404622345
1010635035009
114568222235
12208979a195
131006431a31
1472c62989b
154239eb73e
hex279e5c181

10635035009 has 2 divisors, whose sum is σ = 10635035010. Its totient is φ = 10635035008.

The previous prime is 10635034997. The next prime is 10635035011. The reversal of 10635035009 is 90053053601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10553041984 + 81993025 = 102728^2 + 9055^2 .

It is a cyclic number.

It is not a de Polignac number, because 10635035009 - 228 = 10366599553 is a prime.

It is a super-2 number, since 2×106350350092 (a number of 21 digits) contains 22 as substring.

Together with 10635035011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10635035039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5317517504 + 5317517505.

It is an arithmetic number, because the mean of its divisors is an integer number (5317517505).

Almost surely, 210635035009 is an apocalyptic number.

It is an amenable number.

10635035009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10635035009 is an equidigital number, since it uses as much as digits as its factorization.

10635035009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12150, while the sum is 32.

The spelling of 10635035009 in words is "ten billion, six hundred thirty-five million, thirty-five thousand, nine".