220405013 has 2 divisors, whose sum is σ = 220405014. Its totient is φ = 220405012.

The previous prime is 220405007. The next prime is 220405019. The reversal of 220405013 is 310504022.

It is a balanced prime because it is at equal distance from previous prime (220405007) and next prime (220405019).

It can be written as a sum of positive squares in only one way, i.e., 132664324 + 87740689 = 11518^2 + 9367^2 .

It is a cyclic number.

It is not a de Polignac number, because 220405013 - 2²⁶ = 153296149 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 220404982 and 220405000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220405019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110202506 + 110202507.

It is an arithmetic number, because the mean of its divisors is an integer number (110202507).

Almost surely, 2^220405013 is an apocalyptic number.

It is an amenable number.

220405013 is a deficient number, since it is larger than the sum of its proper divisors (1).

220405013 is an equidigital number, since it uses as much as digits as its factorization.

220405013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 220405013 is about 14846.0436817355. The cubic root of 220405013 is about 604.0512991311.

Adding to 220405013 its reverse (310504022), we get a palindrome (530909035).

Subtracting 220405013 from its reverse (310504022), we obtain a palindrome (90099009).

The spelling of 220405013 in words is "two hundred twenty million, four hundred five thousand, thirteen".