527518080 has 96 divisors (see below), whose sum is σ = 1821605760. Its totient is φ = 140669952.

The previous prime is 527518073. The next prime is 527518081. The reversal of 527518080 is 80815725.

527518080 is a `hidden beast` number, since 527 + 51 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527518081) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40032 + ... + 51551.

It is an arithmetic number, because the mean of its divisors is an integer number (18975060).

Almost surely, 2^527518080 is an apocalyptic number.

It is an amenable number.

527518080 is an abundant number, since it is smaller than the sum of its proper divisors (1294087680).

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

527518080 is a wasteful number, since it uses less digits than its factorization.

527518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91608 (or 91593 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 527518080 is about 22967.7617542502. The cubic root of 527518080 is about 808.0020259401.

The spelling of 527518080 in words is "five hundred twenty-seven million, five hundred eighteen thousand, eighty".