181266125 has 32 divisors (see below), whose sum is σ = 234535392. Its totient is φ = 139776000.

The previous prime is 181266119. The next prime is 181266139. The reversal of 181266125 is 521662181.

It can be written as a sum of positive squares in 16 ways, for example, as 155276521 + 25989604 = 12461^2 + 5098^2 .

It is not a de Polignac number, because 181266125 - 2¹⁴ = 181249741 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 181266091 and 181266100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578969 + ... + 579281.

It is an arithmetic number, because the mean of its divisors is an integer number (7329231).

Almost surely, 2^181266125 is an apocalyptic number.

It is an amenable number.

181266125 is a deficient number, since it is larger than the sum of its proper divisors (53269267).

181266125 is a wasteful number, since it uses less digits than its factorization.

181266125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its digits is 5760, while the sum is 32.

The square root of 181266125 is about 13463.5108719828. The cubic root of 181266125 is about 565.9423801050.

The spelling of 181266125 in words is "one hundred eighty-one million, two hundred sixty-six thousand, one hundred twenty-five".