527514112 has 40 divisors (see below), whose sum is σ = 1064537892. Its totient is φ = 261145600.

The previous prime is 527514083. The next prime is 527514149. The reversal of 527514112 is 211415725.

The cubic root of 527514112 is 808.

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

It can be written as a sum of positive squares in 2 ways, for example, as 412252416 + 115261696 = 20304^2 + 10736^2 .

It is a super-2 number, since 2×527514112² = 556542276718297088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5222862 + ... + 5222962.

Almost surely, 2^527514112 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 527514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532268946).

527514112 is an abundant number, since it is smaller than the sum of its proper divisors (537023780).

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

527514112 is an frugal number, since it uses more digits than its factorization.

527514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 103 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 527514112 is about 22967.6753721399.

Adding to 527514112 its reverse (211415725), we get a palindrome (738929837).

The spelling of 527514112 in words is "five hundred twenty-seven million, five hundred fourteen thousand, one hundred twelve".