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420561013 is a prime number
BaseRepresentation
bin11001000100010…
…100000001110101
31002022100201020211
4121010110001311
51330130423023
6105422025421
713264465255
oct3104240165
91068321224
10420561013
111a6439794
12b8a18271
1369190192
143dbd7965
1526dc5a0d
hex19114075

420561013 has 2 divisors, whose sum is σ = 420561014. Its totient is φ = 420561012.

The previous prime is 420561007. The next prime is 420561017. The reversal of 420561013 is 310165024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 280328049 + 140232964 = 16743^2 + 11842^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420561013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420561017) 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, 210280506 + 210280507.

It is an arithmetic number, because the mean of its divisors is an integer number (210280507).

Almost surely, 2420561013 is an apocalyptic number.

It is an amenable number.

420561013 is a deficient number, since it is larger than the sum of its proper divisors (1).

420561013 is an equidigital number, since it uses as much as digits as its factorization.

420561013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 420561013 is about 20507.5842799682. The cubic root of 420561013 is about 749.2205312222.

The spelling of 420561013 in words is "four hundred twenty million, five hundred sixty-one thousand, thirteen".