8513424533952 has 336 divisors, whose sum is σ = 27766827859680. Its totient is φ = 2570087190528.

The previous prime is 8513424533879. The next prime is 8513424533981. The reversal of 8513424533952 is 2593354243158.

8513424533952 is a `hidden beast` number, since 8 + 5 + 1 + 3 + 4 + 245 + 3 + 395 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10318074 + ... + 11112582.

It is an arithmetic number, because the mean of its divisors is an integer number (82639368630).

Almost surely, 2^{8513424533952} 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 8513424533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883413929840).

8513424533952 is an abundant number, since it is smaller than the sum of its proper divisors (19253403325728).

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

8513424533952 is a wasteful number, since it uses less digits than its factorization.

8513424533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794602 (or 794580 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 8513424533952 in words is "eight trillion, five hundred thirteen billion, four hundred twenty-four million, five hundred thirty-three thousand, nine hundred fifty-two".