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12529328353 is a prime number
BaseRepresentation
bin10111010101100111…
…00110000011100001
31012100012010211100021
423222303212003201
5201130002001403
65431134553441
7622326351043
oct135263460341
935305124307
1012529328353
11534a52a923
122518068881
131248a17c79
1486c049a93
154d4e7d8bd
hex2eace60e1

12529328353 has 2 divisors, whose sum is σ = 12529328354. Its totient is φ = 12529328352.

The previous prime is 12529328309. The next prime is 12529328363. The reversal of 12529328353 is 35382392521.

12529328353 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., 6687477729 + 5841850624 = 81777^2 + 76432^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12529328353 is a prime.

It is not a weakly prime, because it can be changed into another prime (12529328303) 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, 6264664176 + 6264664177.

It is an arithmetic number, because the mean of its divisors is an integer number (6264664177).

Almost surely, 212529328353 is an apocalyptic number.

It is an amenable number.

12529328353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12529328353 is an equidigital number, since it uses as much as digits as its factorization.

12529328353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 388800, while the sum is 43.

The spelling of 12529328353 in words is "twelve billion, five hundred twenty-nine million, three hundred twenty-eight thousand, three hundred fifty-three".