13824520506 has 32 divisors (see below), whose sum is σ = 30734035200. Its totient is φ = 4606241760.

The previous prime is 13824520483. The next prime is 13824520519. The reversal of 13824520506 is 60502542831.

13824520506 is a `hidden beast` number, since 1 + 3 + 82 + 4 + 520 + 50 + 6 = 666.

It is a super-2 number, since 2×13824520506² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79375 + ... + 184253.

It is an arithmetic number, because the mean of its divisors is an integer number (960438600).

Almost surely, 2^13824520506 is an apocalyptic number.

13824520506 is an abundant number, since it is smaller than the sum of its proper divisors (16909514694).

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

13824520506 is a wasteful number, since it uses less digits than its factorization.

13824520506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107331 (or 107325 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 13824520506 in words is "thirteen billion, eight hundred twenty-four million, five hundred twenty thousand, five hundred six".