21403014316417 has 2 divisors, whose sum is σ = 21403014316418. Its totient is φ = 21403014316416.

The previous prime is 21403014316303. The next prime is 21403014316423. The reversal of 21403014316417 is 71461341030412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21364695862416 + 38318454001 = 4622196^2 + 195751^2 .

It is a cyclic number.

It is not a de Polignac number, because 21403014316417 - 2¹¹ = 21403014314369 is a prime.

It is not a weakly prime, because it can be changed into another prime (21403014316477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10701507158208 + 10701507158209.

It is an arithmetic number, because the mean of its divisors is an integer number (10701507158209).

Almost surely, 2^{21403014316417} is an apocalyptic number.

It is an amenable number.

21403014316417 is a deficient number, since it is larger than the sum of its proper divisors (1).

21403014316417 is an equidigital number, since it uses as much as digits as its factorization.

21403014316417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 21403014316417 its reverse (71461341030412), we get a palindrome (92864355346829).

The spelling of 21403014316417 in words is "twenty-one trillion, four hundred three billion, fourteen million, three hundred sixteen thousand, four hundred seventeen".