10509633 has 12 divisors (see below), whose sum is σ = 15395328. Its totient is φ = 6907320.

The previous prime is 10509619. The next prime is 10509649. The reversal of 10509633 is 33690501.

It is not a de Polignac number, because 10509633 - 2¹⁰ = 10508609 is a prime.

It is a super-2 number, since 2×10509633² = 220904771589378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10509597 and 10509606.

It is not an unprimeable number, because it can be changed into a prime (10509683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7585 + ... + 8862.

It is an arithmetic number, because the mean of its divisors is an integer number (1282944).

Almost surely, 2^10509633 is an apocalyptic number.

It is an amenable number.

10509633 is a deficient number, since it is larger than the sum of its proper divisors (4885695).

10509633 is a wasteful number, since it uses less digits than its factorization.

10509633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16524 (or 16521 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 10509633 is about 3241.8564126130. The cubic root of 10509633 is about 219.0429014594.

The spelling of 10509633 in words is "ten million, five hundred nine thousand, six hundred thirty-three".