51434340441101 has 8 divisors (see below), whose sum is σ = 51444463777560. Its totient is φ = 51424217766208.

The previous prime is 51434340441041. The next prime is 51434340441137. The reversal of 51434340441101 is 10114404343415.

It can be written as a sum of positive squares in 4 ways, for example, as 158014200100 + 51276326241001 = 397510^2 + 7160749^2 .

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 51434340441101 - 2⁶ = 51434340441037 is a prime.

It is a super-3 number, since 3×51434340441101³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51434340441181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172846295 + ... + 173143611.

It is an arithmetic number, because the mean of its divisors is an integer number (6430557972195).

Almost surely, 2^{51434340441101} is an apocalyptic number.

It is an amenable number.

51434340441101 is a deficient number, since it is larger than the sum of its proper divisors (10123336459).

51434340441101 is a wasteful number, since it uses less digits than its factorization.

51434340441101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330783.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 51434340441101 its reverse (10114404343415), we get a palindrome (61548744784516).

The spelling of 51434340441101 in words is "fifty-one trillion, four hundred thirty-four billion, three hundred forty million, four hundred forty-one thousand, one hundred one".