51058617601 has 2 divisors, whose sum is σ = 51058617602. Its totient is φ = 51058617600.

The previous prime is 51058617583. The next prime is 51058617629. The reversal of 51058617601 is 10671685015.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50861074576 + 197543025 = 225524^2 + 14055^2 .

It is a cyclic number.

It is not a de Polignac number, because 51058617601 - 2⁹ = 51058617089 is a prime.

It is not a weakly prime, because it can be changed into another prime (51058617671) 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, 25529308800 + 25529308801.

It is an arithmetic number, because the mean of its divisors is an integer number (25529308801).

Almost surely, 2^51058617601 is an apocalyptic number.

It is an amenable number.

51058617601 is a deficient number, since it is larger than the sum of its proper divisors (1).

51058617601 is an equidigital number, since it uses as much as digits as its factorization.

51058617601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 51058617601 in words is "fifty-one billion, fifty-eight million, six hundred seventeen thousand, six hundred one".