528678876825 has 144 divisors (see below), whose sum is σ = 1052859487680. Its totient is φ = 251449920000.

The previous prime is 528678876821. The next prime is 528678876853.

528678876825 is a `hidden beast` number, since 528 + 6 + 7 + 8 + 8 + 76 + 8 + 25 = 666.

528678876825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528678876825 - 2² = 528678876821 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (528678876821) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27237574 + ... + 27256976.

It is an arithmetic number, because the mean of its divisors is an integer number (7311524220).

Almost surely, 2^528678876825 is an apocalyptic number.

528678876825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528678876825 is a deficient number, since it is larger than the sum of its proper divisors (524180610855).

528678876825 is a wasteful number, since it uses less digits than its factorization.

528678876825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19640 (or 19632 counting only the distinct ones).

The product of its digits is 722534400, while the sum is 72.

The spelling of 528678876825 in words is "five hundred twenty-eight billion, six hundred seventy-eight million, eight hundred seventy-six thousand, eight hundred twenty-five".