1091826459025 has 81 divisors (see below), whose sum is σ = 1520216239089. Its totient is φ = 777609941760.

The previous prime is 1091826459011. The next prime is 1091826459041. The reversal of 1091826459025 is 5209546281901.

It is a happy number.

The square root of 1091826459025 is 1044905.

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 25538916481 + 1066287542544 = 159809^2 + 1032612^2 .

It is not a de Polignac number, because 1091826459025 - 2¹⁹ = 1091825934737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1687521252 + ... + 1687521898.

Almost surely, 2^{1091826459025} is an apocalyptic number.

1091826459025 is the 1044905-th square number.

1091826459025 is the 522453-rd centered octagonal number.

It is an amenable number.

1091826459025 is a deficient number, since it is larger than the sum of its proper divisors (428389780064).

1091826459025 is an frugal number, since it uses more digits than its factorization.

1091826459025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 1091826459025 in words is "one trillion, ninety-one billion, eight hundred twenty-six million, four hundred fifty-nine thousand, twenty-five".