10415433252 has 96 divisors (see below), whose sum is σ = 29765578752. Its totient is φ = 2769503616.

The previous prime is 10415433247. The next prime is 10415433271. The reversal of 10415433252 is 25233451401.

10415433252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1368 + ... + 144335.

It is an arithmetic number, because the mean of its divisors is an integer number (310058112).

Almost surely, 2^10415433252 is an apocalyptic number.

10415433252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10415433252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882789376).

10415433252 is an abundant number, since it is smaller than the sum of its proper divisors (19350145500).

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

10415433252 is a wasteful number, since it uses less digits than its factorization.

10415433252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145777 (or 145775 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 10415433252 its reverse (25233451401), we get a palindrome (35648884653).

The spelling of 10415433252 in words is "ten billion, four hundred fifteen million, four hundred thirty-three thousand, two hundred fifty-two".