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6567124141 is a prime number

6567124141 has 2 divisors, whose sum is σ = 6567124142. Its totient is φ = 6567124140.

The previous prime is 6567124139. The next prime is 6567124177. The reversal of 6567124141 is 1414217656.

6567124141 is digitally balanced in base 3, 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., 5353995241 + 1213128900 = 73171^2 + 34830^2 .

It is a cyclic number.

It is not a de Polignac number, because 6567124141 - 21 = 6567124139 is a prime.

Together with 6567124139, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 6567124141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6567124111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3283562070 + 3283562071.

It is an arithmetic number, because the mean of its divisors is an integer number (3283562071).

Almost surely, 26567124141 is an apocalyptic number.

It is an amenable number.

6567124141 is a deficient number, since it is larger than the sum of its proper divisors (1).

6567124141 is an equidigital number, since it uses as much as digits as its factorization.

6567124141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 37.

The square root of 6567124141 is about 81037.7945220624. The cubic root of 6567124141 is about 1872.6577345359.

The spelling of 6567124141 in words is "six billion, five hundred sixty-seven million, one hundred twenty-four thousand, one hundred forty-one".