528190272289 has 9 divisors (see below), whose sum is σ = 561101061171. Its totient is φ = 497108628000.

The previous prime is 528190272199. The next prime is 528190272293. The reversal of 528190272289 is 982272091825.

The square root of 528190272289 is 726767.

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

It can be written as a sum of positive squares in only one way, i.e., 411220800225 + 116969472064 = 641265^2 + 342008^2 .

It is not a de Polignac number, because 528190272289 - 2¹¹ = 528190270241 is a prime.

It is a super-2 number, since 2×528190272289² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (528190272299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12333664 + ... + 12376414.

Almost surely, 2^528190272289 is an apocalyptic number.

528190272289 is the 726767-th square number.

528190272289 is the 363384-th centered octagonal number.

It is an amenable number.

528190272289 is a deficient number, since it is larger than the sum of its proper divisors (32910788882).

528190272289 is an frugal number, since it uses more digits than its factorization.

528190272289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85536 (or 42768 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 528190272289 in words is "five hundred twenty-eight billion, one hundred ninety million, two hundred seventy-two thousand, two hundred eighty-nine".