10117285633 has 24 divisors (see below), whose sum is σ = 13419969192. Its totient is φ = 7534001664.

The previous prime is 10117285627. The next prime is 10117285637. The reversal of 10117285633 is 33658271101.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 10116939889 = 588^2 + 100583^2 .

It is not a de Polignac number, because 10117285633 - 2²⁹ = 9580414721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10117285592 and 10117285601.

It is not an unprimeable number, because it can be changed into a prime (10117285637) 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 23 ways as a sum of consecutive naturals, for example, 456310 + ... + 477967.

It is an arithmetic number, because the mean of its divisors is an integer number (559165383).

Almost surely, 2^10117285633 is an apocalyptic number.

10117285633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10117285633 is a deficient number, since it is larger than the sum of its proper divisors (3302683559).

10117285633 is a wasteful number, since it uses less digits than its factorization.

10117285633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934321 (or 934314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 10117285633 in words is "ten billion, one hundred seventeen million, two hundred eighty-five thousand, six hundred thirty-three".