21205033000 has 64 divisors (see below), whose sum is σ = 50960941200. Its totient is φ = 8252755200.

The previous prime is 21205032949. The next prime is 21205033051. The reversal of 21205033000 is 33050212.

It is an interprime number because it is at equal distance from previous prime (21205032949) and next prime (21205033051).

It can be written as a sum of positive squares in 8 ways, for example, as 8045731204 + 13159301796 = 89698^2 + 114714^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249555 + ... + 323554.

Almost surely, 2^21205033000 is an apocalyptic number.

21205033000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21205033000 is an abundant number, since it is smaller than the sum of its proper divisors (29755908200).

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

21205033000 is a wasteful number, since it uses less digits than its factorization.

21205033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573167 (or 573153 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

Adding to 21205033000 its reverse (33050212), we get a palindrome (21238083212).

The spelling of 21205033000 in words is "twenty-one billion, two hundred five million, thirty-three thousand".