525338352 has 320 divisors, whose sum is σ = 1992729600. Its totient is φ = 128286720.

The previous prime is 525338351. The next prime is 525338381. The reversal of 525338352 is 253833525.

525338352 is a `hidden beast` number, since 525 + 3 + 3 + 83 + 52 = 666.

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 (525338351) 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 63 ways as a sum of consecutive naturals, for example, 565024 + ... + 565952.

It is an arithmetic number, because the mean of its divisors is an integer number (6227280).

Almost surely, 2^525338352 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 525338352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996364800).

525338352 is an abundant number, since it is smaller than the sum of its proper divisors (1467391248).

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

525338352 is a wasteful number, since it uses less digits than its factorization.

525338352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 525338352 is about 22920.2607315013. The cubic root of 525338352 is about 806.8875895443.

The spelling of 525338352 in words is "five hundred twenty-five million, three hundred thirty-eight thousand, three hundred fifty-two".