528073995969 has 45 divisors (see below), whose sum is σ = 854337456819. Its totient is φ = 324916291440.

The previous prime is 528073995947. The next prime is 528073995991. The reversal of 528073995969 is 969599370825.

It is a happy number.

The square root of 528073995969 is 726687.

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

528073995969 is a `hidden beast` number, since 5 + 28 + 0 + 7 + 3 + 9 + 9 + 596 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (528073995947) and next prime (528073995991).

It can be written as a sum of positive squares in only one way, i.e., 78117455025 + 449956540944 = 279495^2 + 670788^2 .

It is not a de Polignac number, because 528073995969 - 2⁹ = 528073995457 is a prime.

It is a super-2 number, since 2×528073995969² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 528073995897 and 528073995906.

It is not an unprimeable number, because it can be changed into a prime (528073995469) 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 44 ways as a sum of consecutive naturals, for example, 85019274 + ... + 85025484.

Almost surely, 2^528073995969 is an apocalyptic number.

528073995969 is the 726687-th square number.

528073995969 is the 363344-th centered octagonal number.

It is an amenable number.

528073995969 is a deficient number, since it is larger than the sum of its proper divisors (326263460850).

528073995969 is an frugal number, since it uses more digits than its factorization.

528073995969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12460 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 528073995969 in words is "five hundred twenty-eight billion, seventy-three million, nine hundred ninety-five thousand, nine hundred sixty-nine".