21010507373284 has 405 divisors, whose sum is σ = 46237108436505. Its totient is φ = 8349707995200.

The previous prime is 21010507373269. The next prime is 21010507373287. The reversal of 21010507373284 is 48237370501012.

The square root of 21010507373284 is 4583722.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3108063220900 + 17902444152384 = 1762970^2 + 4231128^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21010507373284.

It is not an unprimeable number, because it can be changed into a prime (21010507373287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 447032071749 + ... + 447032071795.

Almost surely, 2^{21010507373284} is an apocalyptic number.

21010507373284 is the 4583722-nd square number.

It is an amenable number.

21010507373284 is an abundant number, since it is smaller than the sum of its proper divisors (25226601063221).

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

21010507373284 is an equidigital number, since it uses as much as digits as its factorization.

21010507373284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 43.

Adding to 21010507373284 its reverse (48237370501012), we get a palindrome (69247877874296).

The spelling of 21010507373284 in words is "twenty-one trillion, ten billion, five hundred seven million, three hundred seventy-three thousand, two hundred eighty-four".