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10580549813 is a prime number
BaseRepresentation
bin10011101101010011…
…00110000010110101
31000022101011121202022
421312221212002311
5133132110043223
64505521522525
7523124122001
oct116651460265
930271147668
1010580549813
11453a498749
1220734a3445
13cc8065c82
147252c5701
1541dd37ac8
hex276a660b5

10580549813 has 2 divisors, whose sum is σ = 10580549814. Its totient is φ = 10580549812.

The previous prime is 10580549803. The next prime is 10580549899. The reversal of 10580549813 is 31894508501.

10580549813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9214656049 + 1365893764 = 95993^2 + 36958^2 .

It is an emirp because it is prime and its reverse (31894508501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10580549813 - 28 = 10580549557 is a prime.

It is a super-2 number, since 2×105805498132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10580549803) 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, 5290274906 + 5290274907.

It is an arithmetic number, because the mean of its divisors is an integer number (5290274907).

Almost surely, 210580549813 is an apocalyptic number.

It is an amenable number.

10580549813 is a deficient number, since it is larger than the sum of its proper divisors (1).

10580549813 is an equidigital number, since it uses as much as digits as its factorization.

10580549813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 10580549813 in words is "ten billion, five hundred eighty million, five hundred forty-nine thousand, eight hundred thirteen".