21837343105057 has 2 divisors, whose sum is σ = 21837343105058. Its totient is φ = 21837343105056.

The previous prime is 21837343104977. The next prime is 21837343105093. The reversal of 21837343105057 is 75050134373812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11249289168016 + 10588053937041 = 3353996^2 + 3253929^2 .

It is a cyclic number.

It is not a de Polignac number, because 21837343105057 - 2¹⁹ = 21837342580769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 21837343105057.

It is not a weakly prime, because it can be changed into another prime (21837343106057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10918671552528 + 10918671552529.

It is an arithmetic number, because the mean of its divisors is an integer number (10918671552529).

Almost surely, 2^{21837343105057} is an apocalyptic number.

It is an amenable number.

21837343105057 is a deficient number, since it is larger than the sum of its proper divisors (1).

21837343105057 is an equidigital number, since it uses as much as digits as its factorization.

21837343105057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2116800, while the sum is 49.

Adding to 21837343105057 its reverse (75050134373812), we get a palindrome (96887477478869).

The spelling of 21837343105057 in words is "twenty-one trillion, eight hundred thirty-seven billion, three hundred forty-three million, one hundred five thousand, fifty-seven".