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10544153513 is a prime number
BaseRepresentation
bin10011101000111101…
…10000001110101001
31000012211200111102012
421310132300032221
5133043300403023
64502141445305
7522202553225
oct116436601651
930184614365
1010544153513
114520999663
122063270835
13cc06617ba
1472052d785
1541aa48978
hex2747b03a9

10544153513 has 2 divisors, whose sum is σ = 10544153514. Its totient is φ = 10544153512.

The previous prime is 10544153479. The next prime is 10544153533. The reversal of 10544153513 is 31535144501.

10544153513 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., 8917402624 + 1626750889 = 94432^2 + 40333^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10544153513 is a prime.

It is a super-2 number, since 2×105441535132 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10544153513.

It is not a weakly prime, because it can be changed into another prime (10544153533) 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, 5272076756 + 5272076757.

It is an arithmetic number, because the mean of its divisors is an integer number (5272076757).

Almost surely, 210544153513 is an apocalyptic number.

It is an amenable number.

10544153513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10544153513 is an equidigital number, since it uses as much as digits as its factorization.

10544153513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 10544153513 in words is "ten billion, five hundred forty-four million, one hundred fifty-three thousand, five hundred thirteen".