525384288 has 144 divisors (see below), whose sum is σ = 1755398736. Its totient is φ = 146949120.

The previous prime is 525384287. The next prime is 525384289. The reversal of 525384288 is 882483525.

525384288 is a `hidden beast` number, since 525 + 3 + 8 + 42 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (525384287) and next prime (525384289).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525384287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34806 + ... + 47562.

It is an arithmetic number, because the mean of its divisors is an integer number (12190269).

Almost surely, 2^525384288 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 525384288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877699368).

525384288 is an abundant number, since it is smaller than the sum of its proper divisors (1230014448).

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

525384288 is a wasteful number, since it uses less digits than its factorization.

525384288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12786 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 525384288 is about 22921.2627924379. The cubic root of 525384288 is about 806.9111071547.

The spelling of 525384288 in words is "five hundred twenty-five million, three hundred eighty-four thousand, two hundred eighty-eight".