51605081249 has 2 divisors, whose sum is σ = 51605081250. Its totient is φ = 51605081248.

The previous prime is 51605081237. The next prime is 51605081251. The reversal of 51605081249 is 94218050615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46059598225 + 5545483024 = 214615^2 + 74468^2 .

It is a cyclic number.

It is not a de Polignac number, because 51605081249 - 2⁸ = 51605080993 is a prime.

It is a Sophie Germain prime.

Together with 51605081251, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (51605081149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25802540624 + 25802540625.

It is an arithmetic number, because the mean of its divisors is an integer number (25802540625).

Almost surely, 2^51605081249 is an apocalyptic number.

It is an amenable number.

51605081249 is a deficient number, since it is larger than the sum of its proper divisors (1).

51605081249 is an equidigital number, since it uses as much as digits as its factorization.

51605081249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 51605081249 in words is "fifty-one billion, six hundred five million, eighty-one thousand, two hundred forty-nine".