1891040272801 has 9 divisors (see below), whose sum is σ = 1958538422451. Its totient is φ = 1825793483304.

The previous prime is 1891040272727. The next prime is 1891040272837. The reversal of 1891040272801 is 1082720401981.

The square root of 1891040272801 is 1375151.

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., 991615648401 + 899424624400 = 995799^2 + 948380^2 .

It is not a de Polignac number, because 1891040272801 - 2¹⁹ = 1891039748513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1891040272001) 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, 39855670 + ... + 39903088.

Almost surely, 2^{1891040272801} is an apocalyptic number.

1891040272801 is the 1375151-st square number.

1891040272801 is the 687576-th centered octagonal number.

It is an amenable number.

1891040272801 is a deficient number, since it is larger than the sum of its proper divisors (67498149650).

1891040272801 is an frugal number, since it uses more digits than its factorization.

1891040272801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94896 (or 47448 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

It can be divided in two parts, 1891040 and 272801, that added together give a square (2163841 = 1471²).

The spelling of 1891040272801 in words is "one trillion, eight hundred ninety-one billion, forty million, two hundred seventy-two thousand, eight hundred one".