8513563872 has 288 divisors, whose sum is σ = 25740288000. Its totient is φ = 2458874880.

The previous prime is 8513563867. The next prime is 8513563889. The reversal of 8513563872 is 2783653158.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42781629 + ... + 42781827.

It is an arithmetic number, because the mean of its divisors is an integer number (89376000).

Almost surely, 2^8513563872 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 8513563872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12870144000).

8513563872 is an abundant number, since it is smaller than the sum of its proper divisors (17226724128).

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

8513563872 is a wasteful number, since it uses less digits than its factorization.

8513563872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 371 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 8513563872 is about 92268.9756743836. The cubic root of 8513563872 is about 2041.9125239961.

The spelling of 8513563872 in words is "eight billion, five hundred thirteen million, five hundred sixty-three thousand, eight hundred seventy-two".