51234210320257 has 2 divisors, whose sum is σ = 51234210320258. Its totient is φ = 51234210320256.

The previous prime is 51234210320141. The next prime is 51234210320281. The reversal of 51234210320257 is 75202301243215.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48610471238641 + 2623739081616 = 6972121^2 + 1619796^2 .

It is a cyclic number.

It is not a de Polignac number, because 51234210320257 - 2²⁷ = 51234076102529 is a prime.

It is not a weakly prime, because it can be changed into another prime (51234210320287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25617105160128 + 25617105160129.

It is an arithmetic number, because the mean of its divisors is an integer number (25617105160129).

Almost surely, 2^{51234210320257} is an apocalyptic number.

It is an amenable number.

51234210320257 is a deficient number, since it is larger than the sum of its proper divisors (1).

51234210320257 is an equidigital number, since it uses as much as digits as its factorization.

51234210320257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 51234210320257 in words is "fifty-one trillion, two hundred thirty-four billion, two hundred ten million, three hundred twenty thousand, two hundred fifty-seven".