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12537635417 is a prime number
BaseRepresentation
bin10111010110100110…
…10010001001011001
31012100202202212111022
423223103102021121
5201134113313132
65432033012225
7622460066636
oct135323221131
935322685438
1012537635417
11535419406a
12251a9b4075
13124a6660a8
1486d1ad18d
154d5a6ee12
hex2eb4d2259

12537635417 has 2 divisors, whose sum is σ = 12537635418. Its totient is φ = 12537635416.

The previous prime is 12537635389. The next prime is 12537635437. The reversal of 12537635417 is 71453673521.

12537635417 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., 7948792336 + 4588843081 = 89156^2 + 67741^2 .

It is a cyclic number.

It is not a de Polignac number, because 12537635417 - 218 = 12537373273 is a prime.

It is a super-2 number, since 2×125376354172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12537635437) 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, 6268817708 + 6268817709.

It is an arithmetic number, because the mean of its divisors is an integer number (6268817709).

Almost surely, 212537635417 is an apocalyptic number.

It is an amenable number.

12537635417 is a deficient number, since it is larger than the sum of its proper divisors (1).

12537635417 is an equidigital number, since it uses as much as digits as its factorization.

12537635417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 529200, while the sum is 44.

The spelling of 12537635417 in words is "twelve billion, five hundred thirty-seven million, six hundred thirty-five thousand, four hundred seventeen".