51564055521241 has 2 divisors, whose sum is σ = 51564055521242. Its totient is φ = 51564055521240.

The previous prime is 51564055521203. The next prime is 51564055521259. The reversal of 51564055521241 is 14212555046515.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33613615175625 + 17950440345616 = 5797725^2 + 4236796^2 .

It is a cyclic number.

It is not a de Polignac number, because 51564055521241 - 2¹⁹ = 51564054996953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 51564055521191 and 51564055521200.

It is not a weakly prime, because it can be changed into another prime (51564055521271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25782027760620 + 25782027760621.

It is an arithmetic number, because the mean of its divisors is an integer number (25782027760621).

Almost surely, 2^{51564055521241} is an apocalyptic number.

It is an amenable number.

51564055521241 is a deficient number, since it is larger than the sum of its proper divisors (1).

51564055521241 is an equidigital number, since it uses as much as digits as its factorization.

51564055521241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200000, while the sum is 46.

The spelling of 51564055521241 in words is "fifty-one trillion, five hundred sixty-four billion, fifty-five million, five hundred twenty-one thousand, two hundred forty-one".