11582552989225 has 27 divisors (see below), whose sum is σ = 15257288576037. Its totient is φ = 8720763262080.

The previous prime is 11582552989201. The next prime is 11582552989229. The reversal of 11582552989225 is 52298925528511.

The square root of 11582552989225 is 3403315.

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

11582552989225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 270927537049 + 11311625452176 = 520507^2 + 3363276^2 .

It is not a de Polignac number, because 11582552989225 - 2¹⁷ = 11582552858153 is a prime.

It is a super-2 number, since 2×11582552989225² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11582552989229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 289261756 + ... + 289301794.

Almost surely, 2^{11582552989225} is an apocalyptic number.

11582552989225 is the 3403315-th square number.

11582552989225 is the 1701658-th centered octagonal number.

It is an amenable number.

11582552989225 is a deficient number, since it is larger than the sum of its proper divisors (3674735586812).

11582552989225 is an frugal number, since it uses more digits than its factorization.

11582552989225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80122 (or 40061 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 64.

Multiplying 11582552989225 by its sum of digits (64), we get a square (741283391310400 = 27226520²).

The spelling of 11582552989225 in words is "eleven trillion, five hundred eighty-two billion, five hundred fifty-two million, nine hundred eighty-nine thousand, two hundred twenty-five".