525540960 has 288 divisors, whose sum is σ = 2126621952. Its totient is φ = 120061440.

The previous prime is 525540959. The next prime is 525540971. The reversal of 525540960 is 69045525.

525540960 is a `hidden beast` number, since 5 + 25 + 540 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271195 + ... + 273125.

It is an arithmetic number, because the mean of its divisors is an integer number (7384104).

Almost surely, 2^525540960 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 525540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063310976).

525540960 is an abundant number, since it is smaller than the sum of its proper divisors (1601080992).

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

525540960 is a wasteful number, since it uses less digits than its factorization.

525540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 525540960 is about 22924.6801504405. The cubic root of 525540960 is about 806.9913073786.

The spelling of 525540960 in words is "five hundred twenty-five million, five hundred forty thousand, nine hundred sixty".