525097728 has 216 divisors, whose sum is σ = 1642787328. Its totient is φ = 166966272.

The previous prime is 525097691. The next prime is 525097733. The reversal of 525097728 is 827790525.

It is a happy number.

525097728 is a `hidden beast` number, since 52 + 509 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

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, 1430601 + ... + 1430967.

Almost surely, 2^525097728 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 525097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821393664).

525097728 is an abundant number, since it is smaller than the sum of its proper divisors (1117689600).

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

525097728 is an equidigital number, since it uses as much as digits as its factorization.

525097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 525097728 is about 22915.0109753410. The cubic root of 525097728 is about 806.7643761462.

It can be divided in two parts, 525097 and 728, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 525097728 in words is "five hundred twenty-five million, ninety-seven thousand, seven hundred twenty-eight".