51085128329 has 2 divisors, whose sum is σ = 51085128330. Its totient is φ = 51085128328.

The previous prime is 51085128319. The next prime is 51085128371. The reversal of 51085128329 is 92382158015.

51085128329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44303935225 + 6781193104 = 210485^2 + 82348^2 .

It is a cyclic number.

It is not a de Polignac number, because 51085128329 - 2⁴ = 51085128313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 51085128329.

It is not a weakly prime, because it can be changed into another prime (51085128319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25542564164 + 25542564165.

It is an arithmetic number, because the mean of its divisors is an integer number (25542564165).

Almost surely, 2^51085128329 is an apocalyptic number.

It is an amenable number.

51085128329 is a deficient number, since it is larger than the sum of its proper divisors (1).

51085128329 is an equidigital number, since it uses as much as digits as its factorization.

51085128329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 44.

The spelling of 51085128329 in words is "fifty-one billion, eighty-five million, one hundred twenty-eight thousand, three hundred twenty-nine".