525980160 has 240 divisors, whose sum is σ = 1873882296. Its totient is φ = 136249344.

The previous prime is 525980137. The next prime is 525980179. The reversal of 525980160 is 61089525.

It is a happy number.

525980160 is a `hidden beast` number, since 5 + 2 + 598 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 385415424 + 140564736 = 19632^2 + 11856^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 852172 + ... + 852788.

Almost surely, 2^525980160 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 525980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936941148).

525980160 is an abundant number, since it is smaller than the sum of its proper divisors (1347902136).

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

525980160 is a wasteful number, since it uses less digits than its factorization.

525980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 525980160 is about 22934.2573457263. The cubic root of 525980160 is about 807.2160484367.

The spelling of 525980160 in words is "five hundred twenty-five million, nine hundred eighty thousand, one hundred sixty".