8006513256 has 512 divisors, whose sum is σ = 29113344000. Its totient is φ = 1984131072.

The previous prime is 8006513201. The next prime is 8006513297. The reversal of 8006513256 is 6523156008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8006513256.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17144335 + ... + 17144801.

It is an arithmetic number, because the mean of its divisors is an integer number (56862000).

Almost surely, 2^8006513256 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 8006513256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556672000).

8006513256 is an abundant number, since it is smaller than the sum of its proper divisors (21106830744).

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

8006513256 is a wasteful number, since it uses less digits than its factorization.

8006513256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 8006513256 is about 89479.1219000276. The cubic root of 8006513256 is about 2000.5426240996.

The spelling of 8006513256 in words is "eight billion, six million, five hundred thirteen thousand, two hundred fifty-six".