51337167680017 has 8 divisors (see below), whose sum is σ = 52070655155400. Its totient is φ = 50604497464320.

The previous prime is 51337167679943. The next prime is 51337167680047. The reversal of 51337167680017 is 71008676173315.

It is a happy number.

It is a Cunningham number, because it is equal to 7164996²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 29141470144656 + 22195697535361 = 5398284^2 + 4711231^2 .

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 51337167680017 - 2³⁹ = 50787411866129 is a prime.

It is a super-2 number, since 2×51337167680017² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51337167680017.

It is not an unprimeable number, because it can be changed into a prime (51337167680047) 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, 204188392 + ... + 204439657.

It is an arithmetic number, because the mean of its divisors is an integer number (6508831894425).

Almost surely, 2^{51337167680017} is an apocalyptic number.

It is an amenable number.

51337167680017 is a deficient number, since it is larger than the sum of its proper divisors (733487475383).

51337167680017 is a wasteful number, since it uses less digits than its factorization.

51337167680017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408629843.

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 51337167680017 in words is "fifty-one trillion, three hundred thirty-seven billion, one hundred sixty-seven million, six hundred eighty thousand, seventeen".