525096000 has 896 divisors, whose sum is σ = 2396459520. Its totient is φ = 110592000.

The previous prime is 525095981. The next prime is 525096037. The reversal of 525096000 is 690525.

525096000 is a `hidden beast` number, since 5 + 2 + 50 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30887992 + ... + 30888008.

It is an arithmetic number, because the mean of its divisors is an integer number (2674620).

Almost surely, 2^525096000 is an apocalyptic number.

525096000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

525096000 is an abundant number, since it is smaller than the sum of its proper divisors (1871363520).

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

525096000 is a wasteful number, since it uses less digits than its factorization.

525096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 525096000 is about 22914.9732707677. The cubic root of 525096000 is about 806.7634911742.

The spelling of 525096000 in words is "five hundred twenty-five million, ninety-six thousand".