126591009105289 has 9 divisors (see below), whose sum is σ = 128700990012231. Its totient is φ = 124515071584920.

The previous prime is 126591009105277. The next prime is 126591009105313. The reversal of 126591009105289 is 982501900195621.

It is a happy number.

The square root of 126591009105289 is 11251267.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4116504192889 + 122474504912400 = 2028917^2 + 11066820^2 .

It is not a de Polignac number, because 126591009105289 - 2¹¹ = 126591009103241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (126591009105229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 686235064 + ... + 686419510.

It is an arithmetic number, because the mean of its divisors is an integer number (14300110001359).

Almost surely, 2^{126591009105289} is an apocalyptic number.

126591009105289 is the 11251267-th square number.

126591009105289 is the 5625634-th centered octagonal number.

It is an amenable number.

126591009105289 is a deficient number, since it is larger than the sum of its proper divisors (2109980906942).

126591009105289 is an frugal number, since it uses more digits than its factorization.

126591009105289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369016 (or 184508 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 58.

The spelling of 126591009105289 in words is "one hundred twenty-six trillion, five hundred ninety-one billion, nine million, one hundred five thousand, two hundred eighty-nine".