525731328 has 120 divisors (see below), whose sum is σ = 1526512416. Its totient is φ = 174182400.

The previous prime is 525731317. The next prime is 525731329. The reversal of 525731328 is 823137525.

It is a happy number.

525731328 is a `hidden beast` number, since 52 + 573 + 1 + 32 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 525731292 and 525731301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525731329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248558 + ... + 1248978.

Almost surely, 2^525731328 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 525731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763256208).

525731328 is an abundant number, since it is smaller than the sum of its proper divisors (1000781088).

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

525731328 is a wasteful number, since it uses less digits than its factorization.

525731328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 525731328 is about 22928.8318062652. The cubic root of 525731328 is about 807.0887351006.

It can be divided in two parts, 5257 and 31328, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 525731328 in words is "five hundred twenty-five million, seven hundred thirty-one thousand, three hundred twenty-eight".