51657063212801 has 2 divisors, whose sum is σ = 51657063212802. Its totient is φ = 51657063212800.

The previous prime is 51657063212779. The next prime is 51657063212819. The reversal of 51657063212801 is 10821236075615.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38589192480400 + 13067870732401 = 6212020^2 + 3614951^2 .

It is a cyclic number.

It is not a de Polignac number, because 51657063212801 - 2¹⁰ = 51657063211777 is a prime.

It is not a weakly prime, because it can be changed into another prime (51657063212831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25828531606400 + 25828531606401.

It is an arithmetic number, because the mean of its divisors is an integer number (25828531606401).

Almost surely, 2^{51657063212801} is an apocalyptic number.

It is an amenable number.

51657063212801 is a deficient number, since it is larger than the sum of its proper divisors (1).

51657063212801 is an equidigital number, since it uses as much as digits as its factorization.

51657063212801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 51657063212801 in words is "fifty-one trillion, six hundred fifty-seven billion, sixty-three million, two hundred twelve thousand, eight hundred one".