8052625152 has 288 divisors, whose sum is σ = 27979580160. Its totient is φ = 2252206080.

The previous prime is 8052625123. The next prime is 8052625157. The reversal of 8052625152 is 2515262508.

It is a happy number.

8052625152 is a `hidden beast` number, since 80 + 5 + 2 + 62 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052625157) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 984343 + ... + 992489.

It is an arithmetic number, because the mean of its divisors is an integer number (97151320).

Almost surely, 2^8052625152 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 8052625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13989790080).

8052625152 is an abundant number, since it is smaller than the sum of its proper divisors (19926955008).

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

8052625152 is a wasteful number, since it uses less digits than its factorization.

8052625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 8052625152 is about 89736.4204322860. The cubic root of 8052625152 is about 2004.3758483266.

The spelling of 8052625152 in words is "eight billion, fifty-two million, six hundred twenty-five thousand, one hundred fifty-two".