Search a number
-
+
13530552353 is a prime number
BaseRepresentation
bin11001001100111101…
…11101100000100001
31021220222010021110122
430212132331200201
5210202310133403
610114342410025
7656204540333
oct144636754041
937828107418
1013530552353
11581370a27a
122757430915
1313782932c6
14924dd5453
15542d02838
hex3267bd821

13530552353 has 2 divisors, whose sum is σ = 13530552354. Its totient is φ = 13530552352.

The previous prime is 13530552307. The next prime is 13530552367. The reversal of 13530552353 is 35325503531.

13530552353 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., 13403155984 + 127396369 = 115772^2 + 11287^2 .

It is an emirp because it is prime and its reverse (35325503531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13530552353 - 28 = 13530552097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13530512353) 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, 6765276176 + 6765276177.

It is an arithmetic number, because the mean of its divisors is an integer number (6765276177).

Almost surely, 213530552353 is an apocalyptic number.

It is an amenable number.

13530552353 is a deficient number, since it is larger than the sum of its proper divisors (1).

13530552353 is an equidigital number, since it uses as much as digits as its factorization.

13530552353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 101250, while the sum is 35.

The spelling of 13530552353 in words is "thirteen billion, five hundred thirty million, five hundred fifty-two thousand, three hundred fifty-three".