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12697581601 is a prime number
BaseRepresentation
bin10111101001101010…
…11011100000100001
31012202220201222102001
423310311123200201
5202001040102401
65455545124001
7626441443225
oct136465334041
935686658361
1012697581601
1154264a9aa1
122564489601
1312748381c3
14886526785
154e4b16601
hex2f4d5b821

12697581601 has 2 divisors, whose sum is σ = 12697581602. Its totient is φ = 12697581600.

The previous prime is 12697581587. The next prime is 12697581607. The reversal of 12697581601 is 10618579621.

12697581601 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., 8939891601 + 3757690000 = 94551^2 + 61300^2 .

It is a cyclic number.

It is not a de Polignac number, because 12697581601 - 211 = 12697579553 is a prime.

It is a super-2 number, since 2×126975816012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12697581607) 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, 6348790800 + 6348790801.

It is an arithmetic number, because the mean of its divisors is an integer number (6348790801).

Almost surely, 212697581601 is an apocalyptic number.

It is an amenable number.

12697581601 is a deficient number, since it is larger than the sum of its proper divisors (1).

12697581601 is an equidigital number, since it uses as much as digits as its factorization.

12697581601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 181440, while the sum is 46.

The spelling of 12697581601 in words is "twelve billion, six hundred ninety-seven million, five hundred eighty-one thousand, six hundred one".