525352128 has 168 divisors, whose sum is σ = 1702612800. Its totient is φ = 142152192.

The previous prime is 525352099. The next prime is 525352129. The reversal of 525352128 is 821253525.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (525352129) 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 23 ways as a sum of consecutive naturals, for example, 177283 + ... + 180221.

It is an arithmetic number, because the mean of its divisors is an integer number (10134600).

Almost surely, 2^525352128 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 525352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851306400).

525352128 is an abundant number, since it is smaller than the sum of its proper divisors (1177260672).

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

525352128 is a wasteful number, since it uses less digits than its factorization.

525352128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2970 counting only the distinct ones).

The product of its digits is 24000, while the sum is 33.

The square root of 525352128 is about 22920.5612496727. The cubic root of 525352128 is about 806.8946425139.

The spelling of 525352128 in words is "five hundred twenty-five million, three hundred fifty-two thousand, one hundred twenty-eight".