10533225024 has 504 divisors, whose sum is σ = 38519877240. Its totient is φ = 2731180032.

The previous prime is 10533224993. The next prime is 10533225047. The reversal of 10533225024 is 42052233501.

It is a happy number.

10533225024 is a `hidden beast` number, since 105 + 33 + 22 + 502 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3477225024 + 7056000000 = 58968^2 + 84000^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10533225024² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 13914054 + ... + 13914810.

Almost surely, 2^10533225024 is an apocalyptic number.

10533225024 is a gapful number since it is divisible by the number (14) 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 10533225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259938620).

10533225024 is an abundant number, since it is smaller than the sum of its proper divisors (27986652216).

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

10533225024 is a wasteful number, since it uses less digits than its factorization.

10533225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10533225024 its reverse (42052233501), we get a palindrome (52585458525).

The spelling of 10533225024 in words is "ten billion, five hundred thirty-three million, two hundred twenty-five thousand, twenty-four".