528528686825825 has 48 divisors (see below), whose sum is σ = 774957725066880. Its totient is φ = 349863973777920.

The previous prime is 528528686825813. The next prime is 528528686825833.

528528686825825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528528686825825 - 2¹⁶ = 528528686760289 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 528528686825825.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21686549 + ... + 39081501.

It is an arithmetic number, because the mean of its divisors is an integer number (16144952605560).

Almost surely, 2^{528528686825825} is an apocalyptic number.

It is an amenable number.

528528686825825 is a deficient number, since it is larger than the sum of its proper divisors (246429038241055).

528528686825825 is a wasteful number, since it uses less digits than its factorization.

528528686825825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400986 (or 17400981 counting only the distinct ones).

The product of its digits is 11796480000, while the sum is 80.

The spelling of 528528686825825 in words is "five hundred twenty-eight trillion, five hundred twenty-eight billion, six hundred eighty-six million, eight hundred twenty-five thousand, eight hundred twenty-five".