10413024520 has 64 divisors (see below), whose sum is σ = 23836978800. Its totient is φ = 4092871680.

The previous prime is 10413024493. The next prime is 10413024521. The reversal of 10413024520 is 2542031401.

It can be written as a sum of positive squares in 8 ways, for example, as 1531469956 + 8881554564 = 39134^2 + 94242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10413024491 and 10413024500.

It is not an unprimeable number, because it can be changed into a prime (10413024521) 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 15 ways as a sum of consecutive naturals, for example, 4071082 + ... + 4073638.

Almost surely, 2^10413024520 is an apocalyptic number.

10413024520 is a gapful number since it is divisible by the number (10) 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 10413024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918489400).

10413024520 is an abundant number, since it is smaller than the sum of its proper divisors (13423954280).

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

10413024520 is a wasteful number, since it uses less digits than its factorization.

10413024520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 10413024520 its reverse (2542031401), we get a palindrome (12955055921).

The spelling of 10413024520 in words is "ten billion, four hundred thirteen million, twenty-four thousand, five hundred twenty".