1000333125 has 160 divisors (see below), whose sum is σ = 2145813120. Its totient is φ = 455040000.

The previous prime is 1000333121. The next prime is 1000333133. The reversal of 1000333125 is 5213330001.

It is not a de Polignac number, because 1000333125 - 2² = 1000333121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000333098 and 1000333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000333121) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3155467 + ... + 3155783.

It is an arithmetic number, because the mean of its divisors is an integer number (13411332).

Almost surely, 2^1000333125 is an apocalyptic number.

1000333125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1000333125 is an abundant number, since it is smaller than the sum of its proper divisors (1145479995).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000333125 is a wasteful number, since it uses less digits than its factorization.

1000333125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 1000333125 is about 31628.0433318282. The cubic root of 1000333125 is about 1000.1110293387. Note that the first 3 decimals are identical.

Adding to 1000333125 its reverse (5213330001), we get a palindrome (6213663126).

The spelling of 1000333125 in words is "one billion, three hundred thirty-three thousand, one hundred twenty-five".