51208000013 has 2 divisors, whose sum is σ = 51208000014. Its totient is φ = 51208000012.

The previous prime is 51207999991. The next prime is 51208000057. The reversal of 51208000013 is 31000080215.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 39212712484 + 11995287529 = 198022^2 + 109523^2 .

It is a cyclic number.

It is not a de Polignac number, because 51208000013 - 2¹⁸ = 51207737869 is a prime.

It is a super-3 number, since 3×51208000013³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51208000513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25604000006 + 25604000007.

It is an arithmetic number, because the mean of its divisors is an integer number (25604000007).

Almost surely, 2^51208000013 is an apocalyptic number.

It is an amenable number.

51208000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

51208000013 is an equidigital number, since it uses as much as digits as its factorization.

51208000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 51208000013 its reverse (31000080215), we get a palindrome (82208080228).

The spelling of 51208000013 in words is "fifty-one billion, two hundred eight million, thirteen", and thus it is an aban number.