10233506952 has 40 divisors (see below), whose sum is σ = 28663296750. Its totient is φ = 3411168768.

The previous prime is 10233506929. The next prime is 10233506957. The reversal of 10233506952 is 25960533201.

10233506952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9507420036 + 726086916 = 97506^2 + 26946^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10233506957) 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 9 ways as a sum of consecutive naturals, for example, 7895577 + ... + 7896872.

Almost surely, 2^10233506952 is an apocalyptic number.

10233506952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10233506952 is an abundant number, since it is smaller than the sum of its proper divisors (18429789798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10233506952 is a wasteful number, since it uses less digits than its factorization.

10233506952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15792467 (or 15792454 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 10233506952 in words is "ten billion, two hundred thirty-three million, five hundred six thousand, nine hundred fifty-two".