5511108380625 has 135 divisors (see below), whose sum is σ = 10072600230693. Its totient is φ = 2902729536000.

The previous prime is 5511108380597. The next prime is 5511108380627. The reversal of 5511108380625 is 5260838011155.

The square root of 5511108380625 is 2347575.

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

5511108380625 is a `hidden beast` number, since 5 + 5 + 1 + 1 + 10 + 8 + 3 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 413501727681 + 5097606652944 = 643041^2 + 2257788^2 .

It is a de Polignac number, because none of the positive numbers 2^k-5511108380625 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5511108380627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19895697987 + ... + 19895698263.

Almost surely, 2^{5511108380625} is an apocalyptic number.

5511108380625 is the 2347575-th square number.

5511108380625 is the 1173788-th centered octagonal number.

It is an amenable number.

5511108380625 is a deficient number, since it is larger than the sum of its proper divisors (4561491850068).

5511108380625 is an frugal number, since it uses more digits than its factorization.

5511108380625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 5511108380625 in words is "five trillion, five hundred eleven billion, one hundred eight million, three hundred eighty thousand, six hundred twenty-five".