528767825 has 24 divisors (see below), whose sum is σ = 673215096. Its totient is φ = 411840000.

The previous prime is 528767809. The next prime is 528767831.

It is a happy number.

528767825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 183439936 + 345327889 = 13544^2 + 18583^2 .

It is not a de Polignac number, because 528767825 - 2⁴ = 528767809 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152309 + ... + 155741.

It is an arithmetic number, because the mean of its divisors is an integer number (28050629).

Almost surely, 2^528767825 is an apocalyptic number.

It is an amenable number.

528767825 is a deficient number, since it is larger than the sum of its proper divisors (144447271).

528767825 is a wasteful number, since it uses less digits than its factorization.

528767825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3600 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 50.

The square root of 528767825 is about 22994.9521634641. The cubic root of 528767825 is about 808.6396028880.

The spelling of 528767825 in words is "five hundred twenty-eight million, seven hundred sixty-seven thousand, eight hundred twenty-five".