525753216 has 192 divisors, whose sum is σ = 1575288000. Its totient is φ = 168210432.

The previous prime is 525753197. The next prime is 525753223. The reversal of 525753216 is 612357525.

525753216 is a `hidden beast` number, since 52 + 575 + 32 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 4823370 + ... + 4823478.

It is an arithmetic number, because the mean of its divisors is an integer number (8204625).

Almost surely, 2^525753216 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 525753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787644000).

525753216 is an abundant number, since it is smaller than the sum of its proper divisors (1049534784).

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

525753216 is a wasteful number, since it uses less digits than its factorization.

525753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its digits is 63000, while the sum is 36.

The square root of 525753216 is about 22929.3091042883. The cubic root of 525753216 is about 807.0999355701.

The spelling of 525753216 in words is "five hundred twenty-five million, seven hundred fifty-three thousand, two hundred sixteen".