51055005017 has 2 divisors, whose sum is σ = 51055005018. Its totient is φ = 51055005016.

The previous prime is 51055005007. The next prime is 51055005019. The reversal of 51055005017 is 71050055015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38867728201 + 12187276816 = 197149^2 + 110396^2 .

It is a cyclic number.

It is not a de Polignac number, because 51055005017 - 2⁸ = 51055004761 is a prime.

It is a super-2 number, since 2×51055005017² (a number of 22 digits) contains 22 as substring.

Together with 51055005019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (51055005019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25527502508 + 25527502509.

It is an arithmetic number, because the mean of its divisors is an integer number (25527502509).

Almost surely, 2^51055005017 is an apocalyptic number.

It is an amenable number.

51055005017 is a deficient number, since it is larger than the sum of its proper divisors (1).

51055005017 is an equidigital number, since it uses as much as digits as its factorization.

51055005017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4375, while the sum is 29.

The spelling of 51055005017 in words is "fifty-one billion, fifty-five million, five thousand, seventeen".