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13125651641 is a prime number
BaseRepresentation
bin11000011100101100…
…11000110010111001
31020212202020012002222
430032112120302321
5203340131323031
610010240133425
7643160124644
oct141626306271
936782205088
1013125651641
1156260a7393
122663907275
13131242719b
148c7316a5b
1551c4c1e7b
hex30e598cb9

13125651641 has 2 divisors, whose sum is σ = 13125651642. Its totient is φ = 13125651640.

The previous prime is 13125651629. The next prime is 13125651667. The reversal of 13125651641 is 14615652131.

13125651641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9081327616 + 4044324025 = 95296^2 + 63595^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13125651641 is a prime.

It is not a weakly prime, because it can be changed into another prime (13125651541) 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, 6562825820 + 6562825821.

It is an arithmetic number, because the mean of its divisors is an integer number (6562825821).

Almost surely, 213125651641 is an apocalyptic number.

It is an amenable number.

13125651641 is a deficient number, since it is larger than the sum of its proper divisors (1).

13125651641 is an equidigital number, since it uses as much as digits as its factorization.

13125651641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21600, while the sum is 35.

The spelling of 13125651641 in words is "thirteen billion, one hundred twenty-five million, six hundred fifty-one thousand, six hundred forty-one".