11491727103025 has 27 divisors (see below), whose sum is σ = 15430489444899. Its totient is φ = 8486035758720.

The previous prime is 11491727103007. The next prime is 11491727103119. The reversal of 11491727103025 is 52030172719411.

The square root of 11491727103025 is 3389945.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4169204510769 + 7322522592256 = 2041863^2 + 2706016^2 .

It is not a de Polignac number, because 11491727103025 - 2⁵ = 11491727102993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 220320349 + ... + 220372501.

Almost surely, 2^{11491727103025} is an apocalyptic number.

11491727103025 is the 3389945-th square number.

11491727103025 is the 1694973-rd centered octagonal number.

It is an amenable number.

11491727103025 is a deficient number, since it is larger than the sum of its proper divisors (3938762341874).

11491727103025 is an frugal number, since it uses more digits than its factorization.

11491727103025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104342 (or 52171 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 11491727103025 in words is "eleven trillion, four hundred ninety-one billion, seven hundred twenty-seven million, one hundred three thousand, twenty-five".