6126561406249 has 2 divisors, whose sum is σ = 6126561406250. Its totient is φ = 6126561406248.

The previous prime is 6126561406223. The next prime is 6126561406261. The reversal of 6126561406249 is 9426041656216.

6126561406249 is digitally balanced in base 3, 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., 5958690927849 + 167870478400 = 2441043^2 + 409720^2 .

It is a cyclic number.

It is not a de Polignac number, because 6126561406249 - 2²¹ = 6126559309097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6126561406196 and 6126561406205.

It is not a weakly prime, because it can be changed into another prime (6126561406949) 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, 3063280703124 + 3063280703125.

It is an arithmetic number, because the mean of its divisors is an integer number (3063280703125).

Almost surely, 2^{6126561406249} is an apocalyptic number.

It is an amenable number.

6126561406249 is a deficient number, since it is larger than the sum of its proper divisors (1).

6126561406249 is an equidigital number, since it uses as much as digits as its factorization.

6126561406249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 6126561406249 in words is "six trillion, one hundred twenty-six billion, five hundred sixty-one million, four hundred six thousand, two hundred forty-nine".