126973435526001 has 27 divisors (see below), whose sum is σ = 183830644459371. Its totient is φ = 84453452897184.

The previous prime is 126973435525933. The next prime is 126973435526057. The reversal of 126973435526001 is 100625534379621.

The square root of 126973435526001 is 11268249.

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

126973435526001 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 73 + 43 + 5 + 526 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109814156600625 + 17159278925376 = 10479225^2 + 4142376^2 .

It is not a de Polignac number, because 126973435526001 - 2¹¹ = 126973435523953 is a prime.

It is a super-2 number, since 2×126973435526001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126973435026001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15448765270 + ... + 15448773488.

Almost surely, 2^{126973435526001} is an apocalyptic number.

126973435526001 is the 11268249-th square number.

126973435526001 is the 5634125-th centered octagonal number.

It is an amenable number.

126973435526001 is a deficient number, since it is larger than the sum of its proper divisors (56857208933370).

126973435526001 is an frugal number, since it uses more digits than its factorization.

126973435526001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17358 (or 8679 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 126973435526001 in words is "one hundred twenty-six trillion, nine hundred seventy-three billion, four hundred thirty-five million, five hundred twenty-six thousand, one".