20513417 has 2 divisors, whose sum is σ = 20513418. Its totient is φ = 20513416.

The previous prime is 20513393. The next prime is 20513419. The reversal of 20513417 is 71431502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10426441 + 10086976 = 3229^2 + 3176^2 .

It is a cyclic number.

It is not a de Polignac number, because 20513417 - 2¹⁴ = 20497033 is a prime.

Together with 20513419, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20513392 and 20513401.

It is not a weakly prime, because it can be changed into another prime (20513419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10256708 + 10256709.

It is an arithmetic number, because the mean of its divisors is an integer number (10256709).

Almost surely, 2^20513417 is an apocalyptic number.

It is an amenable number.

20513417 is a deficient number, since it is larger than the sum of its proper divisors (1).

20513417 is an equidigital number, since it uses as much as digits as its factorization.

20513417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20513417 is about 4529.1739865013. The cubic root of 20513417 is about 273.7448785903.

Adding to 20513417 its reverse (71431502), we get a palindrome (91944919).

The spelling of 20513417 in words is "twenty million, five hundred thirteen thousand, four hundred seventeen".