1026272328601 has 27 divisors (see below), whose sum is σ = 1120940624349. Its totient is φ = 939171216672.

The previous prime is 1026272328559. The next prime is 1026272328611. The reversal of 1026272328601 is 1068232726201.

The square root of 1026272328601 is 1013051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 555434825625 + 470837502976 = 745275^2 + 686176^2 .

It is not a de Polignac number, because 1026272328601 - 2¹¹ = 1026272326553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1026272328611) 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, 1962279526 + ... + 1962280048.

Almost surely, 2^{1026272328601} is an apocalyptic number.

1026272328601 is the 1013051-st square number.

1026272328601 is the 506526-th centered octagonal number.

It is an amenable number.

1026272328601 is a deficient number, since it is larger than the sum of its proper divisors (94668295748).

1026272328601 is an frugal number, since it uses more digits than its factorization.

1026272328601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 1026272328601 in words is "one trillion, twenty-six billion, two hundred seventy-two million, three hundred twenty-eight thousand, six hundred one".