1005125333 has 2 divisors, whose sum is σ = 1005125334. Its totient is φ = 1005125332.

The previous prime is 1005125321. The next prime is 1005125351. The reversal of 1005125333 is 3335215001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 508637809 + 496487524 = 22553^2 + 22282^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005125333 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1005125299 and 1005125308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005125353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502562666 + 502562667.

It is an arithmetic number, because the mean of its divisors is an integer number (502562667).

Almost surely, 2^1005125333 is an apocalyptic number.

It is an amenable number.

1005125333 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005125333 is an equidigital number, since it uses as much as digits as its factorization.

1005125333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 1005125333 is about 31703.7116596780. The cubic root of 1005125333 is about 1001.7055338340.

The spelling of 1005125333 in words is "one billion, five million, one hundred twenty-five thousand, three hundred thirty-three".