5186819496681 has 45 divisors (see below), whose sum is σ = 7883601420871. Its totient is φ = 3398478978816.

The previous prime is 5186819496671. The next prime is 5186819496721. The reversal of 5186819496681 is 1866949186815.

The square root of 5186819496681 is 2277459.

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

5186819496681 is a `hidden beast` number, since 5 + 1 + 8 + 68 + 19 + 496 + 68 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4881850479081 + 304969017600 = 2209491^2 + 552240^2 .

It is not a de Polignac number, because 5186819496681 - 2¹⁹ = 5186818972393 is a prime.

It is a super-2 number, since 2×5186819496681² (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 (5186819496601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1209328585 + ... + 1209332873.

Almost surely, 2^{5186819496681} is an apocalyptic number.

5186819496681 is the 2277459-th square number.

5186819496681 is the 1138730-th centered octagonal number.

It is an amenable number.

5186819496681 is a deficient number, since it is larger than the sum of its proper divisors (2696781924190).

5186819496681 is an frugal number, since it uses more digits than its factorization.

5186819496681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8708 (or 4351 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 72.

The spelling of 5186819496681 in words is "five trillion, one hundred eighty-six billion, eight hundred nineteen million, four hundred ninety-six thousand, six hundred eighty-one".