2005210521 has 12 divisors (see below), whose sum is σ = 2945507760. Its totient is φ = 1314148920.

The previous prime is 2005210517. The next prime is 2005210531. The reversal of 2005210521 is 1250125002.

It is not a de Polignac number, because 2005210521 - 2² = 2005210517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2005210494 and 2005210503.

It is not an unprimeable number, because it can be changed into a prime (2005210531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1887615 + ... + 1888676.

It is an arithmetic number, because the mean of its divisors is an integer number (245458980).

Almost surely, 2^2005210521 is an apocalyptic number.

It is an amenable number.

2005210521 is a deficient number, since it is larger than the sum of its proper divisors (940297239).

2005210521 is a wasteful number, since it uses less digits than its factorization.

2005210521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776356 (or 3776353 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2005210521 is about 44779.5770524912. The cubic root of 2005210521 is about 1261.0142419419.

Adding to 2005210521 its reverse (1250125002), we get a palindrome (3255335523).

The spelling of 2005210521 in words is "two billion, five million, two hundred ten thousand, five hundred twenty-one".