21052763270657 has 2 divisors, whose sum is σ = 21052763270658. Its totient is φ = 21052763270656.

The previous prime is 21052763270653. The next prime is 21052763270663. The reversal of 21052763270657 is 75607236725012.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20730683185216 + 322080085441 = 4553096^2 + 567521^2 .

It is a cyclic number.

It is not a de Polignac number, because 21052763270657 - 2² = 21052763270653 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21052763270599 and 21052763270608.

It is not a weakly prime, because it can be changed into another prime (21052763270653) 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 as a sum of consecutive naturals, namely, 10526381635328 + 10526381635329.

It is an arithmetic number, because the mean of its divisors is an integer number (10526381635329).

Almost surely, 2^{21052763270657} is an apocalyptic number.

It is an amenable number.

21052763270657 is a deficient number, since it is larger than the sum of its proper divisors (1).

21052763270657 is an equidigital number, since it uses as much as digits as its factorization.

21052763270657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7408800, while the sum is 53.

Adding to 21052763270657 its reverse (75607236725012), we get a palindrome (96659999995669).

The spelling of 21052763270657 in words is "twenty-one trillion, fifty-two billion, seven hundred sixty-three million, two hundred seventy thousand, six hundred fifty-seven".