51355306523657 has 2 divisors, whose sum is σ = 51355306523658. Its totient is φ = 51355306523656.

The previous prime is 51355306523641. The next prime is 51355306523789. The reversal of 51355306523657 is 75632560355315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34623762566416 + 16731543957241 = 5884196^2 + 4090421^2 .

It is a cyclic number.

It is not a de Polignac number, because 51355306523657 - 2⁴ = 51355306523641 is a prime.

It is not a weakly prime, because it can be changed into another prime (51355306523627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25677653261828 + 25677653261829.

It is an arithmetic number, because the mean of its divisors is an integer number (25677653261829).

Almost surely, 2^{51355306523657} is an apocalyptic number.

It is an amenable number.

51355306523657 is a deficient number, since it is larger than the sum of its proper divisors (1).

51355306523657 is an equidigital number, since it uses as much as digits as its factorization.

51355306523657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 42525000, while the sum is 56.

The spelling of 51355306523657 in words is "fifty-one trillion, three hundred fifty-five billion, three hundred six million, five hundred twenty-three thousand, six hundred fifty-seven".