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10513504549 is a prime number
BaseRepresentation
bin10011100101010011…
…10101100100100101
31000010201000100221101
421302221311210211
5133012424121144
64455124520101
7521351212522
oct116251654445
930121010841
1010513504549
114505665639
122054b50031
13cb71c0312
1471a432149
15417ee26d4
hex272a75925

10513504549 has 2 divisors, whose sum is σ = 10513504550. Its totient is φ = 10513504548.

The previous prime is 10513504489. The next prime is 10513504607. The reversal of 10513504549 is 94540531501.

10513504549 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., 9878968449 + 634536100 = 99393^2 + 25190^2 .

It is a cyclic number.

It is not a de Polignac number, because 10513504549 - 29 = 10513504037 is a prime.

It is a super-2 number, since 2×105135045492 (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 (10513504849) 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, 5256752274 + 5256752275.

It is an arithmetic number, because the mean of its divisors is an integer number (5256752275).

Almost surely, 210513504549 is an apocalyptic number.

It is an amenable number.

10513504549 is a deficient number, since it is larger than the sum of its proper divisors (1).

10513504549 is an equidigital number, since it uses as much as digits as its factorization.

10513504549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 10513504549 in words is "ten billion, five hundred thirteen million, five hundred four thousand, five hundred forty-nine".