11255521755625 has 135 divisors (see below), whose sum is σ = 17284779011907. Its totient is φ = 7304611104000.

The previous prime is 11255521755559. The next prime is 11255521755671. The reversal of 11255521755625 is 52655712555211.

The square root of 11255521755625 is 3354925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10250940520681 + 1004581234944 = 3201709^2 + 1002288^2 .

It is not a de Polignac number, because 11255521755625 - 2¹¹ = 11255521753577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11155125121 + ... + 11155126129.

Almost surely, 2^{11255521755625} is an apocalyptic number.

11255521755625 is the 3354925-th square number.

11255521755625 is the 1677463-rd centered octagonal number.

It is an amenable number.

11255521755625 is a deficient number, since it is larger than the sum of its proper divisors (6029257256282).

11255521755625 is an frugal number, since it uses more digits than its factorization.

11255521755625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 1040 counting only the distinct ones).

The product of its digits is 5250000, while the sum is 52.

The spelling of 11255521755625 in words is "eleven trillion, two hundred fifty-five billion, five hundred twenty-one million, seven hundred fifty-five thousand, six hundred twenty-five".