420006313 has 2 divisors, whose sum is σ = 420006314. Its totient is φ = 420006312.

The previous prime is 420006287. The next prime is 420006319. The reversal of 420006313 is 313600024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419963049 + 43264 = 20493^2 + 208^2 .

It is a cyclic number.

It is not a de Polignac number, because 420006313 - 2²⁵ = 386451881 is a prime.

It is not a weakly prime, because it can be changed into another prime (420006319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210003156 + 210003157.

It is an arithmetic number, because the mean of its divisors is an integer number (210003157).

Almost surely, 2^420006313 is an apocalyptic number.

It is an amenable number.

420006313 is a deficient number, since it is larger than the sum of its proper divisors (1).

420006313 is an equidigital number, since it uses as much as digits as its factorization.

420006313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 420006313 is about 20494.0555527694. The cubic root of 420006313 is about 748.8909908659.

Adding to 420006313 its reverse (313600024), we get a palindrome (733606337).

The spelling of 420006313 in words is "four hundred twenty million, six thousand, three hundred thirteen".