525285120 has 288 divisors, whose sum is σ = 1788091200. Its totient is φ = 131203072.

The previous prime is 525285097. The next prime is 525285139. The reversal of 525285120 is 21582525.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5902036 + ... + 5902124.

It is an arithmetic number, because the mean of its divisors is an integer number (6208650).

Almost surely, 2^525285120 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 525285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894045600).

525285120 is an abundant number, since it is smaller than the sum of its proper divisors (1262806080).

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

525285120 is a wasteful number, since it uses less digits than its factorization.

525285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 30.

The square root of 525285120 is about 22919.0994587484. The cubic root of 525285120 is about 806.8603349246.

The spelling of 525285120 in words is "five hundred twenty-five million, two hundred eighty-five thousand, one hundred twenty".