527260032 has 384 divisors, whose sum is σ = 1837836000. Its totient is φ = 143327232.

The previous prime is 527260021. The next prime is 527260037. The reversal of 527260032 is 230062725.

527260032 is a `hidden beast` number, since 5 + 27 + 2 + 600 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 527259978 and 527260005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527260037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837194 + ... + 4837302.

Almost surely, 2^527260032 is an apocalyptic number.

527260032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918918000).

527260032 is an abundant number, since it is smaller than the sum of its proper divisors (1310575968).

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

527260032 is a wasteful number, since it uses less digits than its factorization.

527260032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 527260032 is about 22962.1434539548. The cubic root of 527260032 is about 807.8702533228.

The spelling of 527260032 in words is "five hundred twenty-seven million, two hundred sixty thousand, thirty-two".