6528640001 has 8 divisors (see below), whose sum is σ = 7033364520. Its totient is φ = 6024275712.

The previous prime is 6528639983. The next prime is 6528640009. The reversal of 6528640001 is 1000468256.

It is a Cunningham number, because it is equal to 80800²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 6528640000 = 1^2 + 80800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 6528640001 - 2⁶ = 6528639937 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6528640001.

It is not an unprimeable number, because it can be changed into a prime (6528640009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51806 + ... + 125463.

It is an arithmetic number, because the mean of its divisors is an integer number (879170565).

Almost surely, 2^6528640001 is an apocalyptic number.

It is an amenable number.

6528640001 is a deficient number, since it is larger than the sum of its proper divisors (504724519).

6528640001 is a wasteful number, since it uses less digits than its factorization.

6528640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180115.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 6528640001 is about 80800.0000061881. Note that the first 5 decimals coincide. The cubic root of 6528640001 is about 1868.9925656342.

The spelling of 6528640001 in words is "six billion, five hundred twenty-eight million, six hundred forty thousand, one".