527069088 has 432 divisors, whose sum is σ = 1999899720. Its totient is φ = 130830336.

The previous prime is 527069083. The next prime is 527069093. The reversal of 527069088 is 880960725.

It is an interprime number because it is at equal distance from previous prime (527069083) and next prime (527069093).

It can be written as a sum of positive squares in 4 ways, for example, as 61027344 + 466041744 = 7812^2 + 21588^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527069083) 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 71 ways as a sum of consecutive naturals, for example, 31004056 + ... + 31004072.

Almost surely, 2^527069088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527069088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999949860).

527069088 is an abundant number, since it is smaller than the sum of its proper divisors (1472830632).

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

527069088 is a wasteful number, since it uses less digits than its factorization.

527069088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 527069088 is about 22957.9852774585. The cubic root of 527069088 is about 807.7727197890.

The spelling of 527069088 in words is "five hundred twenty-seven million, sixty-nine thousand, eighty-eight".