51314510460061 has 2 divisors, whose sum is σ = 51314510460062. Its totient is φ = 51314510460060.

The previous prime is 51314510460019. The next prime is 51314510460077. The reversal of 51314510460061 is 16006401541315.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50887178925625 + 427331534436 = 7133525^2 + 653706^2 .

It is a cyclic number.

It is not a de Polignac number, because 51314510460061 - 2⁹ = 51314510459549 is a prime.

It is a super-2 number, since 2×51314510460061² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51314510460061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51314510466061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25657255230030 + 25657255230031.

It is an arithmetic number, because the mean of its divisors is an integer number (25657255230031).

Almost surely, 2^{51314510460061} is an apocalyptic number.

It is an amenable number.

51314510460061 is a deficient number, since it is larger than the sum of its proper divisors (1).

51314510460061 is an equidigital number, since it uses as much as digits as its factorization.

51314510460061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 51314510460061 in words is "fifty-one trillion, three hundred fourteen billion, five hundred ten million, four hundred sixty thousand, sixty-one".