525327120 has 240 divisors, whose sum is σ = 1863755712. Its totient is φ = 137479680.

The previous prime is 525327119. The next prime is 525327139. The reversal of 525327120 is 21723525.

525327120 is a `hidden beast` number, since 5 + 2 + 532 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1185619 + ... + 1186061.

Almost surely, 2^525327120 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 525327120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931877856).

525327120 is an abundant number, since it is smaller than the sum of its proper divisors (1338428592).

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

525327120 is a wasteful number, since it uses less digits than its factorization.

525327120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 525327120 is about 22920.0157068009. The cubic root of 525327120 is about 806.8818389482.

It can be divided in two parts, 525 and 327120, that added together give a triangular number (327645 = T₈₀₉).

The spelling of 525327120 in words is "five hundred twenty-five million, three hundred twenty-seven thousand, one hundred twenty".