21284093953 has 24 divisors (see below), whose sum is σ = 22103161080. Its totient is φ = 20491315200.

The previous prime is 21284093939. The next prime is 21284093983. The reversal of 21284093953 is 35939048212.

It can be written as a sum of positive squares in 12 ways, for example, as 14537607184 + 6746486769 = 120572^2 + 82137^2 .

It is not a de Polignac number, because 21284093953 - 2¹³ = 21284085761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21284093983) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39341863 + ... + 39342403.

It is an arithmetic number, because the mean of its divisors is an integer number (920965045).

Almost surely, 2^21284093953 is an apocalyptic number.

It is an amenable number.

21284093953 is a deficient number, since it is larger than the sum of its proper divisors (819067127).

21284093953 is an equidigital number, since it uses as much as digits as its factorization.

21284093953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 21284093953 in words is "twenty-one billion, two hundred eighty-four million, ninety-three thousand, nine hundred fifty-three".