1020288933 has 16 divisors (see below), whose sum is σ = 1563662400. Its totient is φ = 656737200.

The previous prime is 1020288889. The next prime is 1020288959. The reversal of 1020288933 is 3398820201.

It is a happy number.

It is not a de Polignac number, because 1020288933 - 2²⁰ = 1019240357 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020388933) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 650743 + ... + 652308.

It is an arithmetic number, because the mean of its divisors is an integer number (97728900).

Almost surely, 2^1020288933 is an apocalyptic number.

It is an amenable number.

1020288933 is a deficient number, since it is larger than the sum of its proper divisors (543373467).

1020288933 is a wasteful number, since it uses less digits than its factorization.

1020288933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303089 (or 1303083 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1020288933 is about 31941.9619466306. The cubic root of 1020288933 is about 1006.7177484690.

The spelling of 1020288933 in words is "one billion, twenty million, two hundred eighty-eight thousand, nine hundred thirty-three".