420305153 has 2 divisors, whose sum is σ = 420305154. Its totient is φ = 420305152.

The previous prime is 420305129. The next prime is 420305159. The reversal of 420305153 is 351503024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413186929 + 7118224 = 20327^2 + 2668^2 .

It is a cyclic number.

It is not a de Polignac number, because 420305153 - 2⁸ = 420304897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (420305159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210152576 + 210152577.

It is an arithmetic number, because the mean of its divisors is an integer number (210152577).

Almost surely, 2^420305153 is an apocalyptic number.

It is an amenable number.

420305153 is a deficient number, since it is larger than the sum of its proper divisors (1).

420305153 is an equidigital number, since it uses as much as digits as its factorization.

420305153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 420305153 is about 20501.3451509895. The cubic root of 420305153 is about 749.0685640112.

Adding to 420305153 its reverse (351503024), we get a palindrome (771808177).

The spelling of 420305153 in words is "four hundred twenty million, three hundred five thousand, one hundred fifty-three".