126544011617 has 2 divisors, whose sum is σ = 126544011618. Its totient is φ = 126544011616.

The previous prime is 126544011593. The next prime is 126544011631. The reversal of 126544011617 is 716110445621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99424179856 + 27119831761 = 315316^2 + 164681^2 .

It is a cyclic number.

It is not a de Polignac number, because 126544011617 - 2⁶ = 126544011553 is a prime.

It is a super-2 number, since 2×126544011617² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (126544011637) 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, 63272005808 + 63272005809.

It is an arithmetic number, because the mean of its divisors is an integer number (63272005809).

Almost surely, 2^126544011617 is an apocalyptic number.

It is an amenable number.

126544011617 is a deficient number, since it is larger than the sum of its proper divisors (1).

126544011617 is an equidigital number, since it uses as much as digits as its factorization.

126544011617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 126544011617 in words is "one hundred twenty-six billion, five hundred forty-four million, eleven thousand, six hundred seventeen".