528765567825 has 24 divisors (see below), whose sum is σ = 953700807456. Its totient is φ = 256371184000.

The previous prime is 528765567809. The next prime is 528765567901.

528765567825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528765567825 - 2⁴ = 528765567809 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 320463156 + ... + 320464805.

It is an arithmetic number, because the mean of its divisors is an integer number (39737533644).

Almost surely, 2^528765567825 is an apocalyptic number.

528765567825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

528765567825 is a deficient number, since it is larger than the sum of its proper divisors (424935239631).

528765567825 is a wasteful number, since it uses less digits than its factorization.

528765567825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640927985 (or 640927980 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 66.

The spelling of 528765567825 in words is "five hundred twenty-eight billion, seven hundred sixty-five million, five hundred sixty-seven thousand, eight hundred twenty-five".