525146328 has 288 divisors, whose sum is σ = 1773954000. Its totient is φ = 145006848.

The previous prime is 525146311. The next prime is 525146329. The reversal of 525146328 is 823641525.

525146328 is a `hidden beast` number, since 5 + 2 + 5 + 14 + 632 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 525146292 and 525146301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525146329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3524398 + ... + 3524546.

Almost surely, 2^525146328 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 525146328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886977000).

525146328 is an abundant number, since it is smaller than the sum of its proper divisors (1248807672).

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

525146328 is a wasteful number, since it uses less digits than its factorization.

525146328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 525146328 is about 22916.0713910565. The cubic root of 525146328 is about 806.7892651888.

The spelling of 525146328 in words is "five hundred twenty-five million, one hundred forty-six thousand, three hundred twenty-eight".