51516066016517 has 8 divisors (see below), whose sum is σ = 55876823398872. Its totient is φ = 47303130918400.

The previous prime is 51516066016511. The next prime is 51516066016601. The reversal of 51516066016517 is 71561066061515.

It can be written as a sum of positive squares in 4 ways, for example, as 169798388356 + 51346267628161 = 412066^2 + 7165631^2 .

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 51516066016517 - 2⁶ = 51516066016453 is a prime.

It is a super-2 number, since 2×51516066016517² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51516066016511) 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, 36955570334 + ... + 36955571727.

It is an arithmetic number, because the mean of its divisors is an integer number (6984602924859).

Almost surely, 2^{51516066016517} is an apocalyptic number.

It is an amenable number.

51516066016517 is a deficient number, since it is larger than the sum of its proper divisors (4360757382355).

51516066016517 is a wasteful number, since it uses less digits than its factorization.

51516066016517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73911142119.

The product of its (nonzero) digits is 1134000, while the sum is 50.

The spelling of 51516066016517 in words is "fifty-one trillion, five hundred sixteen billion, sixty-six million, sixteen thousand, five hundred seventeen".