181120825 has 24 divisors (see below), whose sum is σ = 238908320. Its totient is φ = 135820800.

The previous prime is 181120801. The next prime is 181120853. The reversal of 181120825 is 528021181.

It is not a de Polignac number, because 181120825 - 2¹⁵ = 181088057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 181120793 and 181120802.

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 23 ways as a sum of consecutive naturals, for example, 44110 + ... + 48040.

Almost surely, 2^181120825 is an apocalyptic number.

It is an amenable number.

181120825 is a deficient number, since it is larger than the sum of its proper divisors (57787495).

181120825 is a wasteful number, since it uses less digits than its factorization.

181120825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 181120825 is about 13458.1137236984. The cubic root of 181120825 is about 565.7911229237.

The spelling of 181120825 in words is "one hundred eighty-one million, one hundred twenty thousand, eight hundred twenty-five".