51288237804829 has 2 divisors, whose sum is σ = 51288237804830. Its totient is φ = 51288237804828.

The previous prime is 51288237804809. The next prime is 51288237804833. The reversal of 51288237804829 is 92840873288215.

51288237804829 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., 33093534279204 + 18194703525625 = 5752698^2 + 4265525^2 .

It is a cyclic number.

It is not a de Polignac number, because 51288237804829 - 2¹³ = 51288237796637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51288237804809) 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, 25644118902414 + 25644118902415.

It is an arithmetic number, because the mean of its divisors is an integer number (25644118902415).

Almost surely, 2^{51288237804829} is an apocalyptic number.

It is an amenable number.

51288237804829 is a deficient number, since it is larger than the sum of its proper divisors (1).

51288237804829 is an equidigital number, since it uses as much as digits as its factorization.

51288237804829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 123863040, while the sum is 67.

The spelling of 51288237804829 in words is "fifty-one trillion, two hundred eighty-eight billion, two hundred thirty-seven million, eight hundred four thousand, eight hundred twenty-nine".