211181607025 has 9 divisors (see below), whose sum is σ = 261868041921. Its totient is φ = 168943447440.

The previous prime is 211181606983. The next prime is 211181607059. The reversal of 211181607025 is 520706181112.

The square root of 211181607025 is 459545.

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

211181607025 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 62944286769 + 148237320256 = 250887^2 + 385016^2 .

It is not a de Polignac number, because 211181607025 - 2⁹ = 211181606513 is a prime.

It is a super-2 number, since 2×211181607025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 2251771 + ... + 2343679.

Almost surely, 2^211181607025 is an apocalyptic number.

211181607025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

211181607025 is the 459545-th square number.

211181607025 is the 229773-rd centered octagonal number.

It is an amenable number.

211181607025 is a deficient number, since it is larger than the sum of its proper divisors (50686434896).

211181607025 is an frugal number, since it uses more digits than its factorization.

211181607025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183828 (or 91914 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 34.

Adding to 211181607025 its reverse (520706181112), we get a palindrome (731887788137).

The spelling of 211181607025 in words is "two hundred eleven billion, one hundred eighty-one million, six hundred seven thousand, twenty-five".