51820051838213 has 2 divisors, whose sum is σ = 51820051838214. Its totient is φ = 51820051838212.

The previous prime is 51820051838209. The next prime is 51820051838311. The reversal of 51820051838213 is 31283815002815.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37266421972129 + 14553629866084 = 6104623^2 + 3814922^2 .

It is a cyclic number.

It is not a de Polignac number, because 51820051838213 - 2² = 51820051838209 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 (51820051838413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25910025919106 + 25910025919107.

It is an arithmetic number, because the mean of its divisors is an integer number (25910025919107).

Almost surely, 2^{51820051838213} is an apocalyptic number.

It is an amenable number.

51820051838213 is a deficient number, since it is larger than the sum of its proper divisors (1).

51820051838213 is an equidigital number, since it uses as much as digits as its factorization.

51820051838213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 51820051838213 in words is "fifty-one trillion, eight hundred twenty billion, fifty-one million, eight hundred thirty-eight thousand, two hundred thirteen".