1306007633 has 12 divisors (see below), whose sum is σ = 1524733812. Its totient is φ = 1115382240.

The previous prime is 1306007629. The next prime is 1306007641. The reversal of 1306007633 is 3367006031.

It can be written as a sum of positive squares in 2 ways, for example, as 881317969 + 424689664 = 29687^2 + 20608^2 .

It is not a de Polignac number, because 1306007633 - 2² = 1306007629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1306007596 and 1306007605.

It is not an unprimeable number, because it can be changed into a prime (1306007603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34538 + ... + 61683.

It is an arithmetic number, because the mean of its divisors is an integer number (127061151).

Almost surely, 2^1306007633 is an apocalyptic number.

It is an amenable number.

1306007633 is a deficient number, since it is larger than the sum of its proper divisors (218726179).

1306007633 is an equidigital number, since it uses as much as digits as its factorization.

1306007633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96512 (or 96505 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 29.

The square root of 1306007633 is about 36138.7276062675. The cubic root of 1306007633 is about 1093.0715019602.

The spelling of 1306007633 in words is "one billion, three hundred six million, seven thousand, six hundred thirty-three".