51013251305153 has 2 divisors, whose sum is σ = 51013251305154. Its totient is φ = 51013251305152.

The previous prime is 51013251305123. The next prime is 51013251305171. The reversal of 51013251305153 is 35150315231015.

51013251305153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28209875822209 + 22803375482944 = 5311297^2 + 4775288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-51013251305153 is a prime.

It is not a weakly prime, because it can be changed into another prime (51013251305123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25506625652576 + 25506625652577.

It is an arithmetic number, because the mean of its divisors is an integer number (25506625652577).

Almost surely, 2^{51013251305153} is an apocalyptic number.

It is an amenable number.

51013251305153 is a deficient number, since it is larger than the sum of its proper divisors (1).

51013251305153 is an equidigital number, since it uses as much as digits as its factorization.

51013251305153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33750, while the sum is 35.

Adding to 51013251305153 its reverse (35150315231015), we get a palindrome (86163566536168).

The spelling of 51013251305153 in words is "fifty-one trillion, thirteen billion, two hundred fifty-one million, three hundred five thousand, one hundred fifty-three".