21264035256133 has 2 divisors, whose sum is σ = 21264035256134. Its totient is φ = 21264035256132.

The previous prime is 21264035256119. The next prime is 21264035256179. The reversal of 21264035256133 is 33165253046212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18725854166244 + 2538181089889 = 4327338^2 + 1593167^2 .

It is a cyclic number.

It is not a de Polignac number, because 21264035256133 - 2¹³ = 21264035247941 is a prime.

It is a super-2 number, since 2×21264035256133² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21264035256133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21264035257133) 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, 10632017628066 + 10632017628067.

It is an arithmetic number, because the mean of its divisors is an integer number (10632017628067).

Almost surely, 2^{21264035256133} is an apocalyptic number.

It is an amenable number.

21264035256133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21264035256133 is an equidigital number, since it uses as much as digits as its factorization.

21264035256133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 21264035256133 in words is "twenty-one trillion, two hundred sixty-four billion, thirty-five million, two hundred fifty-six thousand, one hundred thirty-three".