21335345332057 has 2 divisors, whose sum is σ = 21335345332058. Its totient is φ = 21335345332056.

The previous prime is 21335345332039. The next prime is 21335345332079. The reversal of 21335345332057 is 75023354353312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21043330464601 + 292014867456 = 4587301^2 + 540384^2 .

It is a cyclic number.

It is not a de Polignac number, because 21335345332057 - 2¹¹ = 21335345330009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21335345331998 and 21335345332016.

It is not a weakly prime, because it can be changed into another prime (21335345332027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10667672666028 + 10667672666029.

It is an arithmetic number, because the mean of its divisors is an integer number (10667672666029).

Almost surely, 2^{21335345332057} is an apocalyptic number.

It is an amenable number.

21335345332057 is a deficient number, since it is larger than the sum of its proper divisors (1).

21335345332057 is an equidigital number, since it uses as much as digits as its factorization.

21335345332057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402000, while the sum is 46.

Adding to 21335345332057 its reverse (75023354353312), we get a palindrome (96358699685369).

The spelling of 21335345332057 in words is "twenty-one trillion, three hundred thirty-five billion, three hundred forty-five million, three hundred thirty-two thousand, fifty-seven".