126365605033301 has 2 divisors, whose sum is σ = 126365605033302. Its totient is φ = 126365605033300.

The previous prime is 126365605033249. The next prime is 126365605033313. The reversal of 126365605033301 is 103330506563621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126321280047076 + 44324986225 = 11239274^2 + 210535^2 .

It is an emirp because it is prime and its reverse (103330506563621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126365605033301 - 2⁶ = 126365605033237 is a prime.

It is a super-2 number, since 2×126365605033301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126365605033901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63182802516650 + 63182802516651.

It is an arithmetic number, because the mean of its divisors is an integer number (63182802516651).

Almost surely, 2^{126365605033301} is an apocalyptic number.

It is an amenable number.

126365605033301 is a deficient number, since it is larger than the sum of its proper divisors (1).

126365605033301 is an equidigital number, since it uses as much as digits as its factorization.

126365605033301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 874800, while the sum is 44.

The spelling of 126365605033301 in words is "one hundred twenty-six trillion, three hundred sixty-five billion, six hundred five million, thirty-three thousand, three hundred one".