525335040000 has 585 divisors, whose sum is σ = 1908845457519. Its totient is φ = 139161600000.

The previous prime is 525335039987. The next prime is 525335040001. The reversal of 525335040000 is 40533525.

The square root of 525335040000 is 724800.

It is a perfect power (a square), and thus also a powerful number.

525335040000 is a `hidden beast` number, since 5 + 253 + 3 + 5 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41186267136 + 484148772864 = 202944^2 + 695808^2 .

It is not an unprimeable number, because it can be changed into a prime (525335040001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3479039925 + ... + 3479040075.

Almost surely, 2^525335040000 is an apocalyptic number.

525335040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

525335040000 is the 724800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 525335040000

525335040000 is an abundant number, since it is smaller than the sum of its proper divisors (1383510417519).

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

525335040000 is an frugal number, since it uses more digits than its factorization.

525335040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 525335040000 its reverse (40533525), we get a palindrome (525375573525).

The spelling of 525335040000 in words is "five hundred twenty-five billion, three hundred thirty-five million, forty thousand".