51061043466241 has 8 divisors (see below), whose sum is σ = 51161780654600. Its totient is φ = 50960395468800.

The previous prime is 51061043466049. The next prime is 51061043466259. The reversal of 51061043466241 is 14266434016015.

It can be written as a sum of positive squares in 4 ways, for example, as 6450279267600 + 44610764198641 = 2539740^2 + 6679129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 51061043466241 - 2²⁷ = 51060909248513 is a prime.

It is a super-3 number, since 3×51061043466241³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51061043466541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21151560 + ... + 23441641.

It is an arithmetic number, because the mean of its divisors is an integer number (6395222581825).

Almost surely, 2^{51061043466241} is an apocalyptic number.

It is an amenable number.

51061043466241 is a deficient number, since it is larger than the sum of its proper divisors (100737188359).

51061043466241 is a wasteful number, since it uses less digits than its factorization.

51061043466241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44595459.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 51061043466241 in words is "fifty-one trillion, sixty-one billion, forty-three million, four hundred sixty-six thousand, two hundred forty-one".