1000633313 has 8 divisors (see below), whose sum is σ = 1035877800. Its totient is φ = 965438208.

The previous prime is 1000633307. The next prime is 1000633327. The reversal of 1000633313 is 3133360001.

It can be written as a sum of positive squares in 4 ways, for example, as 7879249 + 992754064 = 2807^2 + 31508^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000633313 - 2⁴ = 1000633297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000633373) 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 7 ways as a sum of consecutive naturals, for example, 31595 + ... + 54767.

It is an arithmetic number, because the mean of its divisors is an integer number (129484725).

Almost surely, 2^1000633313 is an apocalyptic number.

It is an amenable number.

1000633313 is a deficient number, since it is larger than the sum of its proper divisors (35244487).

1000633313 is a wasteful number, since it uses less digits than its factorization.

1000633313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24691.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1000633313 is about 31632.7885745155. The cubic root of 1000633313 is about 1000.2110597840.

Adding to 1000633313 its reverse (3133360001), we get a palindrome (4133993314).

The spelling of 1000633313 in words is "one billion, six hundred thirty-three thousand, three hundred thirteen".