527313384 has 192 divisors, whose sum is σ = 1638000000. Its totient is φ = 151911936.

The previous prime is 527313349. The next prime is 527313389. The reversal of 527313384 is 483313725.

527313384 is a `hidden beast` number, since 5 + 273 + 1 + 3 + 384 = 666.

It is a super-3 number, since 3×527313384³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (527313389) 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 47 ways as a sum of consecutive naturals, for example, 2649717 + ... + 2649915.

It is an arithmetic number, because the mean of its divisors is an integer number (8531250).

Almost surely, 2^527313384 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 527313384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819000000).

527313384 is an abundant number, since it is smaller than the sum of its proper divisors (1110686616).

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

527313384 is a wasteful number, since it uses less digits than its factorization.

527313384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 527313384 is about 22963.3051628027. The cubic root of 527313384 is about 807.8975011307.

The spelling of 527313384 in words is "five hundred twenty-seven million, three hundred thirteen thousand, three hundred eighty-four".