528464825 has 48 divisors (see below), whose sum is σ = 783164160. Its totient is φ = 346080000.

The previous prime is 528464801. The next prime is 528464837.

528464825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528464825 - 2¹⁴ = 528448441 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512060 + ... + 513090.

It is an arithmetic number, because the mean of its divisors is an integer number (16315920).

Almost surely, 2^528464825 is an apocalyptic number.

It is an amenable number.

528464825 is a deficient number, since it is larger than the sum of its proper divisors (254699335).

528464825 is a wasteful number, since it uses less digits than its factorization.

528464825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its digits is 614400, while the sum is 44.

The square root of 528464825 is about 22988.3628168689. The cubic root of 528464825 is about 808.4851150367.

The spelling of 528464825 in words is "five hundred twenty-eight million, four hundred sixty-four thousand, eight hundred twenty-five".