528507142272 has 72 divisors (see below), whose sum is σ = 1520905362015. Its totient is φ = 176160822528.

The previous prime is 528507142271. The next prime is 528507142307. The reversal of 528507142272 is 272241705825.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

528507142272 is a `hidden beast` number, since 52 + 8 + 507 + 1 + 4 + 22 + 72 = 666.

528507142272 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 264253571136 + 264253571136 = 514056^2 + 514056^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=514056.

It is not an unprimeable number, because it can be changed into a prime (528507142271) 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, 24663979 + ... + 24685397.

Almost surely, 2^528507142272 is an apocalyptic number.

It is an amenable number.

528507142272 is an abundant number, since it is smaller than the sum of its proper divisors (992398219743).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

528507142272 is an frugal number, since it uses more digits than its factorization.

528507142272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42858 (or 21424 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 528507142272 in words is "five hundred twenty-eight billion, five hundred seven million, one hundred forty-two thousand, two hundred seventy-two".