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13085249 is a prime number
BaseRepresentation
bin110001111010…
…101001000001
3220121210120212
4301322221001
511322211444
61144243505
7216136262
oct61725101
926553525
1013085249
117428161
124470595
132931c68
141a48969
15123719e
hexc7aa41

13085249 has 2 divisors, whose sum is σ = 13085250. Its totient is φ = 13085248.

The previous prime is 13085239. The next prime is 13085251. The reversal of 13085249 is 94258031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10195249 + 2890000 = 3193^2 + 1700^2 .

It is a cyclic number.

It is not a de Polignac number, because 13085249 - 28 = 13084993 is a prime.

Together with 13085251, 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 (13085209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6542624 + 6542625.

It is an arithmetic number, because the mean of its divisors is an integer number (6542625).

Almost surely, 213085249 is an apocalyptic number.

It is an amenable number.

13085249 is a deficient number, since it is larger than the sum of its proper divisors (1).

13085249 is an equidigital number, since it uses as much as digits as its factorization.

13085249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 13085249 is about 3617.3538671244. The cubic root of 13085249 is about 235.6463209886.

The spelling of 13085249 in words is "thirteen million, eighty-five thousand, two hundred forty-nine".