527942529 has 63 divisors (see below), whose sum is σ = 850431603. Its totient is φ = 327560112.

The previous prime is 527942521. The next prime is 527942533. The reversal of 527942529 is 925249725.

The square root of 527942529 is 22977.

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

527942529 is a `hidden beast` number, since 52 + 79 + 4 + 2 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 472410225 + 55532304 = 21735^2 + 7452^2 .

It is not a de Polignac number, because 527942529 - 2³ = 527942521 is a prime.

Its product of digits (453600) is a multiple of the sum of its prime divisors (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (527942521) 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 62 ways as a sum of consecutive naturals, for example, 14268699 + ... + 14268735.

Almost surely, 2^527942529 is an apocalyptic number.

527942529 is the 22977-th square number.

527942529 is the 11489-th centered octagonal number.

It is an amenable number.

527942529 is a deficient number, since it is larger than the sum of its proper divisors (322489074).

527942529 is an frugal number, since it uses more digits than its factorization.

527942529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 63 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The cubic root of 527942529 is about 808.2186780471.

The spelling of 527942529 in words is "five hundred twenty-seven million, nine hundred forty-two thousand, five hundred twenty-nine".