8008001352 has 96 divisors (see below), whose sum is σ = 23638305600. Its totient is φ = 2434290048.

The previous prime is 8008001347. The next prime is 8008001357. The reversal of 8008001352 is 2531008008.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8008001347) and next prime (8008001357).

It is not an unprimeable number, because it can be changed into a prime (8008001357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26149 + ... + 129227.

It is an arithmetic number, because the mean of its divisors is an integer number (246232350).

Almost surely, 2^8008001352 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 8008001352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11819152800).

8008001352 is an abundant number, since it is smaller than the sum of its proper divisors (15630304248).

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

8008001352 is a wasteful number, since it uses less digits than its factorization.

8008001352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103187 (or 103180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8008001352 is about 89487.4368389217. The cubic root of 8008001352 is about 2000.6665571594. Note that the first 3 decimals are identical.

The spelling of 8008001352 in words is "eight billion, eight million, one thousand, three hundred fifty-two".