1000330825 has 24 divisors (see below), whose sum is σ = 1339363928. Its totient is φ = 736750080.

The previous prime is 1000330819. The next prime is 1000330841. The reversal of 1000330825 is 5280330001.

It can be written as a sum of positive squares in 12 ways, for example, as 78783376 + 921547449 = 8876^2 + 30357^2 .

It is not a de Polignac number, because 1000330825 - 2⁹ = 1000330313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000330796 and 1000330805.

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 23 ways as a sum of consecutive naturals, for example, 125149 + ... + 132901.

Almost surely, 2^1000330825 is an apocalyptic number.

It is an amenable number.

1000330825 is a deficient number, since it is larger than the sum of its proper divisors (339033103).

1000330825 is a wasteful number, since it uses less digits than its factorization.

1000330825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8173 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1000330825 is about 31628.0069716699. The cubic root of 1000330825 is about 1000.1102628417.

Adding to 1000330825 its reverse (5280330001), we get a palindrome (6280660826).

The spelling of 1000330825 in words is "one billion, three hundred thirty thousand, eight hundred twenty-five".