525600768 has 288 divisors, whose sum is σ = 1777688640. Its totient is φ = 135168000.

The previous prime is 525600763. The next prime is 525600791. The reversal of 525600768 is 867006525.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525600763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5203918 + ... + 5204018.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2^525600768 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 525600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888844320).

525600768 is an abundant number, since it is smaller than the sum of its proper divisors (1252087872).

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

525600768 is a wasteful number, since it uses less digits than its factorization.

525600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 525600768 is about 22925.9845590108. The cubic root of 525600768 is about 807.0219188241.

The spelling of 525600768 in words is "five hundred twenty-five million, six hundred thousand, seven hundred sixty-eight".