180017825 has 12 divisors (see below), whose sum is σ = 240393468. Its totient is φ = 132936000.

The previous prime is 180017813. The next prime is 180017843. The reversal of 180017825 is 528710081.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14432401 + 165585424 = 3799^2 + 12868^2 .

It is not a de Polignac number, because 180017825 - 2⁴ = 180017809 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 180017791 and 180017800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276626 + ... + 277275.

It is an arithmetic number, because the mean of its divisors is an integer number (20032789).

Almost surely, 2^180017825 is an apocalyptic number.

It is an amenable number.

180017825 is a deficient number, since it is larger than the sum of its proper divisors (60375643).

180017825 is a wasteful number, since it uses less digits than its factorization.

180017825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553924 (or 553919 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 180017825 is about 13417.0721470819. The cubic root of 180017825 is about 564.6402544548.

The spelling of 180017825 in words is "one hundred eighty million, seventeen thousand, eight hundred twenty-five".