2126705972329 has 9 divisors (see below), whose sum is σ = 2202613244247. Its totient is φ = 2053330450584.

The previous prime is 2126705972273. The next prime is 2126705972333. The reversal of 2126705972329 is 9232795076212.

The square root of 2126705972329 is 1458323.

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., 1115193024729 + 1011512947600 = 1056027^2 + 1005740^2 .

It is not a de Polignac number, because 2126705972329 - 2¹³ = 2126705964137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2126705972329.

It is not an unprimeable number, because it can be changed into a prime (2126705972359) 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 in 8 ways as a sum of consecutive naturals, for example, 42266224 + ... + 42316510.

Almost surely, 2^{2126705972329} is an apocalyptic number.

2126705972329 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2126705972329 is the 1458323-rd square number.

2126705972329 is the 729162-nd centered octagonal number.

It is an amenable number.

2126705972329 is a deficient number, since it is larger than the sum of its proper divisors (75907271918).

2126705972329 is an frugal number, since it uses more digits than its factorization.

2126705972329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100632 (or 50316 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 2126705972329 in words is "two trillion, one hundred twenty-six billion, seven hundred five million, nine hundred seventy-two thousand, three hundred twenty-nine".