11611027006129 has 2 divisors, whose sum is σ = 11611027006130. Its totient is φ = 11611027006128.

The previous prime is 11611027006123. The next prime is 11611027006181. The reversal of 11611027006129 is 92160072011611.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11067445207729 + 543581798400 = 3326777^2 + 737280^2 .

It is a cyclic number.

It is not a de Polignac number, because 11611027006129 - 2³ = 11611027006121 is a prime.

It is not a weakly prime, because it can be changed into another prime (11611027006121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5805513503064 + 5805513503065.

It is an arithmetic number, because the mean of its divisors is an integer number (5805513503065).

Almost surely, 2^{11611027006129} is an apocalyptic number.

It is an amenable number.

11611027006129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11611027006129 is an equidigital number, since it uses as much as digits as its factorization.

11611027006129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 11611027006129 in words is "eleven trillion, six hundred eleven billion, twenty-seven million, six thousand, one hundred twenty-nine".