51066463027121 has 2 divisors, whose sum is σ = 51066463027122. Its totient is φ = 51066463027120.

The previous prime is 51066463027079. The next prime is 51066463027141. The reversal of 51066463027121 is 12172036466015.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47005270769521 + 4061192257600 = 6856039^2 + 2015240^2 .

It is a cyclic number.

It is not a de Polignac number, because 51066463027121 - 2³⁰ = 51065389285297 is a prime.

It is a super-2 number, since 2×51066463027121² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (51066463027141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25533231513560 + 25533231513561.

It is an arithmetic number, because the mean of its divisors is an integer number (25533231513561).

Almost surely, 2^{51066463027121} is an apocalyptic number.

It is an amenable number.

51066463027121 is a deficient number, since it is larger than the sum of its proper divisors (1).

51066463027121 is an equidigital number, since it uses as much as digits as its factorization.

51066463027121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 44.

The spelling of 51066463027121 in words is "fifty-one trillion, sixty-six billion, four hundred sixty-three million, twenty-seven thousand, one hundred twenty-one".