8007059538 has 48 divisors (see below), whose sum is σ = 17467638552. Its totient is φ = 2650752000.

The previous prime is 8007059537. The next prime is 8007059569. The reversal of 8007059538 is 8359507008.

It can be written as a sum of positive squares in 4 ways, for example, as 5838946569 + 2168112969 = 76413^2 + 46563^2 .

It is a super-2 number, since 2×8007059538² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8007059493 and 8007059502.

It is not an unprimeable number, because it can be changed into a prime (8007059537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3846658 + ... + 3848738.

Almost surely, 2^8007059538 is an apocalyptic number.

8007059538 is an abundant number, since it is smaller than the sum of its proper divisors (9460579014).

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

8007059538 is a wasteful number, since it uses less digits than its factorization.

8007059538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 8007059538 is about 89482.1744147962. The cubic root of 8007059538 is about 2000.5881218727.

The spelling of 8007059538 in words is "eight billion, seven million, fifty-nine thousand, five hundred thirty-eight".