10506555633 has 8 divisors (see below), whose sum is σ = 16009989568. Its totient is φ = 6003746064.

The previous prime is 10506555623. The next prime is 10506555677. The reversal of 10506555633 is 33655560501.

10506555633 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10506555633 - 2⁵ = 10506555601 is a prime.

It is a super-3 number, since 3×10506555633³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10506555591 and 10506555600.

It is not an unprimeable number, because it can be changed into a prime (10506555613) 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, 250156066 + ... + 250156107.

It is an arithmetic number, because the mean of its divisors is an integer number (2001248696).

Almost surely, 2^10506555633 is an apocalyptic number.

It is an amenable number.

10506555633 is a deficient number, since it is larger than the sum of its proper divisors (5503433935).

10506555633 is an equidigital number, since it uses as much as digits as its factorization.

10506555633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500312183.

The product of its (nonzero) digits is 202500, while the sum is 39.

The spelling of 10506555633 in words is "ten billion, five hundred six million, five hundred fifty-five thousand, six hundred thirty-three".