525421200 has 120 divisors (see below), whose sum is σ = 1756369728. Its totient is φ = 134013440.

The previous prime is 525421199. The next prime is 525421207. The reversal of 525421200 is 2124525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (525421207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18082 + ... + 37118.

Almost surely, 2^525421200 is an apocalyptic number.

525421200 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 525421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878184864).

525421200 is an abundant number, since it is smaller than the sum of its proper divisors (1230948528).

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

525421200 is a wasteful number, since it uses less digits than its factorization.

525421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19081 (or 19070 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 525421200 is about 22922.0679695354. The cubic root of 525421200 is about 806.9300038023.

Adding to 525421200 its reverse (2124525), we get a palindrome (527545725).

The spelling of 525421200 in words is "five hundred twenty-five million, four hundred twenty-one thousand, two hundred".