1091241390625 has 63 divisors (see below), whose sum is σ = 1396958310111. Its totient is φ = 852414000000.

The previous prime is 1091241390607. The next prime is 1091241390647. The reversal of 1091241390625 is 5260931421901.

The square root of 1091241390625 is 1044625.

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

It can be written as a sum of positive squares in 31 ways, for example, as 26514585889 + 1064726804736 = 162833^2 + 1031856^2 .

It is not a de Polignac number, because 1091241390625 - 2¹⁹ = 1091240866337 is a prime.

It is a super-2 number, since 2×1091241390625² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7965265557 + ... + 7965265693.

Almost surely, 2^{1091241390625} is an apocalyptic number.

1091241390625 is the 1044625-th square number.

1091241390625 is the 522313-rd centered octagonal number.

It is an amenable number.

1091241390625 is a deficient number, since it is larger than the sum of its proper divisors (305716919486).

1091241390625 is an frugal number, since it uses more digits than its factorization.

1091241390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The spelling of 1091241390625 in words is "one trillion, ninety-one billion, two hundred forty-one million, three hundred ninety thousand, six hundred twenty-five".