521000521 has 8 divisors (see below), whose sum is σ = 527222088. Its totient is φ = 514800000.

The previous prime is 521000461. The next prime is 521000527. The reversal of 521000521 is 125000125.

It can be written as a sum of positive squares in 4 ways, for example, as 303142921 + 217857600 = 17411^2 + 14760^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 521000521 - 2¹⁵ = 520967753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 521000495 and 521000504.

It is not an unprimeable number, because it can be changed into a prime (521000527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47671 + ... + 57571.

It is an arithmetic number, because the mean of its divisors is an integer number (65902761).

Almost surely, 2^521000521 is an apocalyptic number.

It is an amenable number.

521000521 is a deficient number, since it is larger than the sum of its proper divisors (6221567).

521000521 is a wasteful number, since it uses less digits than its factorization.

521000521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523.

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 521000521 is about 22825.4358337360. The cubic root of 521000521 is about 804.6605675174.

Adding to 521000521 its reverse (125000125), we get a palindrome (646000646).

The spelling of 521000521 in words is "five hundred twenty-one million, five hundred twenty-one", and thus it is an aban number.