4198105013 has 2 divisors, whose sum is σ = 4198105014. Its totient is φ = 4198105012.

The previous prime is 4198104983. The next prime is 4198105049. The reversal of 4198105013 is 3105018914.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2748170929 + 1449934084 = 52423^2 + 38078^2 .

It is a cyclic number.

It is not a de Polignac number, because 4198105013 - 2¹⁰ = 4198103989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4198107013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2099052506 + 2099052507.

It is an arithmetic number, because the mean of its divisors is an integer number (2099052507).

Almost surely, 2^4198105013 is an apocalyptic number.

It is an amenable number.

4198105013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4198105013 is an equidigital number, since it uses as much as digits as its factorization.

4198105013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 4198105013 is about 64792.7851924888. The cubic root of 4198105013 is about 1613.1859566397.

The spelling of 4198105013 in words is "four billion, one hundred ninety-eight million, one hundred five thousand, thirteen".