1100663265625 has 189 divisors, whose sum is σ = 1775441551401. Its totient is φ = 679833000000.

The previous prime is 1100663265607. The next prime is 1100663265641. The reversal of 1100663265625 is 5265623660011.

The square root of 1100663265625 is 1049125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 1046731563801 + 53931701824 = 1023099^2 + 232232^2 .

It is not a de Polignac number, because 1100663265625 - 2¹³ = 1100663257433 is a prime.

It is a super-2 number, since 2×1100663265625² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 10097828071 + ... + 10097828179.

Almost surely, 2^{1100663265625} is an apocalyptic number.

1100663265625 is the 1049125-th square number.

1100663265625 is the 524563-rd centered octagonal number.

It is an amenable number.

1100663265625 is a deficient number, since it is larger than the sum of its proper divisors (674778285776).

1100663265625 is an frugal number, since it uses more digits than its factorization.

1100663265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The spelling of 1100663265625 in words is "one trillion, one hundred billion, six hundred sixty-three million, two hundred sixty-five thousand, six hundred twenty-five".