51105000605513 has 2 divisors, whose sum is σ = 51105000605514. Its totient is φ = 51105000605512.

The previous prime is 51105000605473. The next prime is 51105000605557. The reversal of 51105000605513 is 31550600050115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33125975937289 + 17979024668224 = 5755517^2 + 4240168^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105000605513 - 2²⁰ = 51104999556937 is a prime.

It is a super-2 number, since 2×51105000605513² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51105000605513.

It is not a weakly prime, because it can be changed into another prime (51105000605413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25552500302756 + 25552500302757.

It is an arithmetic number, because the mean of its divisors is an integer number (25552500302757).

Almost surely, 2^{51105000605513} is an apocalyptic number.

It is an amenable number.

51105000605513 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105000605513 is an equidigital number, since it uses as much as digits as its factorization.

51105000605513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11250, while the sum is 32.

Adding to 51105000605513 its reverse (31550600050115), we get a palindrome (82655600655628).

The spelling of 51105000605513 in words is "fifty-one trillion, one hundred five billion, six hundred five thousand, five hundred thirteen".