1303828065 has 12 divisors (see below), whose sum is σ = 2259968724. Its totient is φ = 695374944.

The previous prime is 1303828061. The next prime is 1303828067. The reversal of 1303828065 is 5608283031.

It can be written as a sum of positive squares in 2 ways, for example, as 462422016 + 841406049 = 21504^2 + 29007^2 .

It is not a de Polignac number, because 1303828065 - 2² = 1303828061 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1303828061) 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 11 ways as a sum of consecutive naturals, for example, 14486934 + ... + 14487023.

It is an arithmetic number, because the mean of its divisors is an integer number (188330727).

Almost surely, 2^1303828065 is an apocalyptic number.

1303828065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1303828065 is a deficient number, since it is larger than the sum of its proper divisors (956140659).

1303828065 is a wasteful number, since it uses less digits than its factorization.

1303828065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28973968 (or 28973965 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1303828065 is about 36108.5594423261. The cubic root of 1303828065 is about 1092.4630955562.

The spelling of 1303828065 in words is "one billion, three hundred three million, eight hundred twenty-eight thousand, sixty-five".