8513772000 has 384 divisors, whose sum is σ = 29474565120. Its totient is φ = 2144102400.

The previous prime is 8513771999. The next prime is 8513772019. The reversal of 8513772000 is 2773158.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30083859 + ... + 30084141.

It is an arithmetic number, because the mean of its divisors is an integer number (76756680).

Almost surely, 2^8513772000 is an apocalyptic number.

8513772000 is a gapful number since it is divisible by the number (80) 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 8513772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737282560).

8513772000 is an abundant number, since it is smaller than the sum of its proper divisors (20960793120).

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

8513772000 is a wasteful number, since it uses less digits than its factorization.

8513772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 8513772000 is about 92270.1035005380. The cubic root of 8513772000 is about 2041.9291631582.

The spelling of 8513772000 in words is "eight billion, five hundred thirteen million, seven hundred seventy-two thousand".