51375585215137 has 2 divisors, whose sum is σ = 51375585215138. Its totient is φ = 51375585215136.

The previous prime is 51375585215093. The next prime is 51375585215147. The reversal of 51375585215137 is 73151258557315.

51375585215137 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., 44713280866401 + 6662304348736 = 6686799^2 + 2581144^2 .

It is a cyclic number.

It is not a de Polignac number, because 51375585215137 - 2¹⁹ = 51375584690849 is a prime.

It is not a weakly prime, because it can be changed into another prime (51375585215147) 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, 25687792607568 + 25687792607569.

It is an arithmetic number, because the mean of its divisors is an integer number (25687792607569).

Almost surely, 2^{51375585215137} is an apocalyptic number.

It is an amenable number.

51375585215137 is a deficient number, since it is larger than the sum of its proper divisors (1).

51375585215137 is an equidigital number, since it uses as much as digits as its factorization.

51375585215137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22050000, while the sum is 58.

The spelling of 51375585215137 in words is "fifty-one trillion, three hundred seventy-five billion, five hundred eighty-five million, two hundred fifteen thousand, one hundred thirty-seven".