5160616346601 has 21 divisors (see below), whose sum is σ = 7737476965351. Its totient is φ = 3440370007152.

The previous prime is 5160616346533. The next prime is 5160616346731. The reversal of 5160616346601 is 1066436160615.

The square root of 5160616346601 is 2271699.

It is a perfect power (a square), and thus also a powerful number.

5160616346601 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 6 + 1 + 6 + 34 + 6 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4341909875625 + 818706470976 = 2083725^2 + 904824^2 .

It is not a de Polignac number, because 5160616346601 - 2¹¹ = 5160616344553 is a prime.

It is a super-2 number, since 2×5160616346601² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5165616346601) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 61293805 + ... + 61377941.

Almost surely, 2^{5160616346601} is an apocalyptic number.

5160616346601 is the 2271699-th square number.

5160616346601 is the 1135850-th centered octagonal number.

It is an amenable number.

5160616346601 is a deficient number, since it is larger than the sum of its proper divisors (2576860618750).

5160616346601 is an frugal number, since it uses more digits than its factorization.

5160616346601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168292 (or 84140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5160616346601 in words is "five trillion, one hundred sixty billion, six hundred sixteen million, three hundred forty-six thousand, six hundred one".