528345383543825 has 12 divisors (see below), whose sum is σ = 661634892187548. Its totient is φ = 418491392904000.

The previous prime is 528345383543821. The next prime is 528345383543863.

It is a happy number.

528345383543825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 62664132580624 + 465681250963201 = 7916068^2 + 21579649^2 .

It is not a de Polignac number, because 528345383543825 - 2² = 528345383543821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (528345383543821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104622845702 + ... + 104622850751.

It is an arithmetic number, because the mean of its divisors is an integer number (55136241015629).

Almost surely, 2^{528345383543825} is an apocalyptic number.

It is an amenable number.

528345383543825 is a deficient number, since it is larger than the sum of its proper divisors (133289508643723).

528345383543825 is a wasteful number, since it uses less digits than its factorization.

528345383543825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209245696564 (or 209245696559 counting only the distinct ones).

The product of its digits is 1658880000, while the sum is 68.

The spelling of 528345383543825 in words is "five hundred twenty-eight trillion, three hundred forty-five billion, three hundred eighty-three million, five hundred forty-three thousand, eight hundred twenty-five".