181306225 has 9 divisors (see below), whose sum is σ = 224903233. Its totient is φ = 144991120.

The previous prime is 181306219. The next prime is 181306247. The reversal of 181306225 is 522603181.

The square root of 181306225 is 13465.

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

181306225 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 9591409 + 171714816 = 3097^2 + 13104^2 .

It is not a de Polignac number, because 181306225 - 2⁹ = 181305713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 181306193 and 181306202.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 65979 + ... + 68671.

Almost surely, 2^181306225 is an apocalyptic number.

181306225 is the 13465-th square number.

181306225 is the 6733-rd centered octagonal number.

It is an amenable number.

181306225 is a deficient number, since it is larger than the sum of its proper divisors (43597008).

181306225 is an frugal number, since it uses more digits than its factorization.

181306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The cubic root of 181306225 is about 565.9841099394.

The spelling of 181306225 in words is "one hundred eighty-one million, three hundred six thousand, two hundred twenty-five".