528500727005825 has 48 divisors (see below), whose sum is σ = 773206010219520. Its totient is φ = 350671625568000.

The previous prime is 528500727005791. The next prime is 528500727005851.

It is a happy number.

528500727005825 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 528500727005825 - 2²² = 528500722811521 is a prime.

It is a super-3 number, since 3×528500727005825³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44068895 + ... + 54763755.

It is an arithmetic number, because the mean of its divisors is an integer number (16108458546240).

Almost surely, 2^{528500727005825} is an apocalyptic number.

It is an amenable number.

528500727005825 is a deficient number, since it is larger than the sum of its proper divisors (244705283213695).

528500727005825 is a wasteful number, since it uses less digits than its factorization.

528500727005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10704018 (or 10704013 counting only the distinct ones).

The product of its (nonzero) digits is 15680000, while the sum is 56.

The spelling of 528500727005825 in words is "five hundred twenty-eight trillion, five hundred billion, seven hundred twenty-seven million, five thousand, eight hundred twenty-five".