21506832441337 has 2 divisors, whose sum is σ = 21506832441338. Its totient is φ = 21506832441336.

The previous prime is 21506832441223. The next prime is 21506832441403. The reversal of 21506832441337 is 73314423860512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16029285388281 + 5477547053056 = 4003659^2 + 2340416^2 .

It is a cyclic number.

It is not a de Polignac number, because 21506832441337 - 2³¹ = 21504684957689 is a prime.

It is not a weakly prime, because it can be changed into another prime (21506832441637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10753416220668 + 10753416220669.

It is an arithmetic number, because the mean of its divisors is an integer number (10753416220669).

Almost surely, 2^{21506832441337} is an apocalyptic number.

It is an amenable number.

21506832441337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21506832441337 is an equidigital number, since it uses as much as digits as its factorization.

21506832441337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 21506832441337 in words is "twenty-one trillion, five hundred six billion, eight hundred thirty-two million, four hundred forty-one thousand, three hundred thirty-seven".