51105605101 has 2 divisors, whose sum is σ = 51105605102. Its totient is φ = 51105605100.

The previous prime is 51105605099. The next prime is 51105605107. The reversal of 51105605101 is 10150650115.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30931663876 + 20173941225 = 175874^2 + 142035^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105605101 - 2¹ = 51105605099 is a prime.

It is a super-2 number, since 2×51105605101² (a number of 22 digits) contains 22 as substring.

Together with 51105605099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51105605107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25552802550 + 25552802551.

It is an arithmetic number, because the mean of its divisors is an integer number (25552802551).

Almost surely, 2^51105605101 is an apocalyptic number.

It is an amenable number.

51105605101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105605101 is an equidigital number, since it uses as much as digits as its factorization.

51105605101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 51105605101 in words is "fifty-one billion, one hundred five million, six hundred five thousand, one hundred one".