528283302561 has 135 divisors (see below), whose sum is σ = 935933611041. Its totient is φ = 296093505456.

The previous prime is 528283302551. The next prime is 528283302563. The reversal of 528283302561 is 165203382825.

The square root of 528283302561 is 726831.

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

528283302561 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 83 + 3 + 0 + 2 + 561 = 666.

It is not a de Polignac number, because 528283302561 - 2⁹ = 528283302049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (528283302563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3800599230 + ... + 3800599368.

Almost surely, 2^528283302561 is an apocalyptic number.

528283302561 is the 726831-st square number.

528283302561 is the 363416-th centered octagonal number.

It is an amenable number.

528283302561 is a deficient number, since it is larger than the sum of its proper divisors (407650308480).

528283302561 is an frugal number, since it uses more digits than its factorization.

528283302561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 528283302561 in words is "five hundred twenty-eight billion, two hundred eighty-three million, three hundred two thousand, five hundred sixty-one".