51006126361 has 2 divisors, whose sum is σ = 51006126362. Its totient is φ = 51006126360.

The previous prime is 51006126349. The next prime is 51006126371. The reversal of 51006126361 is 16362160015.

51006126361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27078677136 + 23927449225 = 164556^2 + 154685^2 .

It is a cyclic number.

It is not a de Polignac number, because 51006126361 - 2¹¹ = 51006124313 is a prime.

It is not a weakly prime, because it can be changed into another prime (51006126371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25503063180 + 25503063181.

It is an arithmetic number, because the mean of its divisors is an integer number (25503063181).

Almost surely, 2^51006126361 is an apocalyptic number.

It is an amenable number.

51006126361 is a deficient number, since it is larger than the sum of its proper divisors (1).

51006126361 is an equidigital number, since it uses as much as digits as its factorization.

51006126361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

Adding to 51006126361 its reverse (16362160015), we get a palindrome (67368286376).

The spelling of 51006126361 in words is "fifty-one billion, six million, one hundred twenty-six thousand, three hundred sixty-one".