521000 has 32 divisors (see below), whose sum is σ = 1221480. Its totient is φ = 208000.

The previous prime is 520981. The next prime is 521009. The reversal of 521000 is 125.

It can be written as a sum of positive squares in 4 ways, for example, as 103684 + 417316 = 322^2 + 646^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 521000.

It is not an unprimeable number, because it can be changed into a prime (521009) by changing a digit.

521000 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 740 + ... + 1260.

2⁵²¹⁰⁰⁰ is an apocalyptic number.

521000 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 521000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610740).

521000 is an abundant number, since it is smaller than the sum of its proper divisors (700480).

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

521000 is a wasteful number, since it uses less digits than its factorization.

521000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 521000 is about 721.8032973047. The cubic root of 521000 is about 80.4660299297.

Adding to 521000 its reverse (125), we get a palindrome (521125).

The spelling of 521000 in words is "five hundred twenty-one thousand".