525330000 has 300 divisors, whose sum is σ = 1982880900. Its totient is φ = 129024000.

The previous prime is 525329989. The next prime is 525330017. The reversal of 525330000 is 33525.

It can be written as a sum of positive squares in 10 ways, for example, as 459330624 + 65999376 = 21432^2 + 8124^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1169776 + ... + 1170224.

It is an arithmetic number, because the mean of its divisors is an integer number (6609603).

Almost surely, 2^525330000 is an apocalyptic number.

525330000 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 525330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991440450).

525330000 is an abundant number, since it is smaller than the sum of its proper divisors (1457550900).

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

525330000 is a wasteful number, since it uses less digits than its factorization.

525330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 525330000 is about 22920.0785338969. The cubic root of 525330000 is about 806.8833134678.

Adding to 525330000 its reverse (33525), we get a palindrome (525363525).

It can be divided in two parts, 5253 and 30000, that added together give a palindrome (35253).

The spelling of 525330000 in words is "five hundred twenty-five million, three hundred thirty thousand".