528213529089 has 9 divisors (see below), whose sum is σ = 762978246979. Its totient is φ = 352140899160.

The previous prime is 528213529079. The next prime is 528213529111. The reversal of 528213529089 is 980925312825.

It is a happy number.

The square root of 528213529089 is 726783.

It is a perfect power (a square), and thus also a powerful number.

528213529089 is a `hidden beast` number, since 5 + 28 + 2 + 13 + 529 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41874664689 + 486338864400 = 204633^2 + 697380^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 528213529089 - 2⁵ = 528213529057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (528213529049) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 2059219 + ... + 2301479.

Almost surely, 2^528213529089 is an apocalyptic number.

528213529089 is the 726783-rd square number.

528213529089 is the 363392-nd centered octagonal number.

It is an amenable number.

528213529089 is a deficient number, since it is larger than the sum of its proper divisors (234764717890).

528213529089 is an frugal number, since it uses more digits than its factorization.

528213529089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484528 (or 242264 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 528213529089 in words is "five hundred twenty-eight billion, two hundred thirteen million, five hundred twenty-nine thousand, eighty-nine".