10523046352 has 120 divisors (see below), whose sum is σ = 25770366216. Its totient is φ = 4125671424.

The previous prime is 10523046323. The next prime is 10523046371. The reversal of 10523046352 is 25364032501.

It is a happy number.

10523046352 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 4 ways, for example, as 2155187776 + 8367858576 = 46424^2 + 91476^2 .

It is a super-2 number, since 2×10523046352² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1147128 + ... + 1156264.

Almost surely, 2^10523046352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10523046352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12885183108).

10523046352 is an abundant number, since it is smaller than the sum of its proper divisors (15247319864).

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

10523046352 is a wasteful number, since it uses less digits than its factorization.

10523046352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9285 (or 9272 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 10523046352 its reverse (25364032501), we get a palindrome (35887078853).

The spelling of 10523046352 in words is "ten billion, five hundred twenty-three million, forty-six thousand, three hundred fifty-two".