521252000 has 96 divisors (see below), whose sum is σ = 1290691584. Its totient is φ = 206880000.

The previous prime is 521251919. The next prime is 521252009. The reversal of 521252000 is 252125.

It is a self number, because there is not a number n which added to its sum of digits gives 521252000.

It is not an unprimeable number, because it can be changed into a prime (521252009) 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 15 ways as a sum of consecutive naturals, for example, 603569 + ... + 604431.

It is an arithmetic number, because the mean of its divisors is an integer number (13444704).

Almost surely, 2^521252000 is an apocalyptic number.

521252000 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 521252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645345792).

521252000 is an abundant number, since it is smaller than the sum of its proper divisors (769439584).

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

521252000 is a wasteful number, since it uses less digits than its factorization.

521252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 521252000 is about 22830.9439139077. The cubic root of 521252000 is about 804.7900124843.

The spelling of 521252000 in words is "five hundred twenty-one million, two hundred fifty-two thousand".