5178097681 has 9 divisors (see below), whose sum is σ = 5217467899. Its totient is φ = 5139023944.

The previous prime is 5178097637. The next prime is 5178097693. The reversal of 5178097681 is 1867908715.

The square root of 5178097681 is 71959.

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

It can be written as a sum of positive squares in only one way, i.e., 289850625 + 4888247056 = 17025^2 + 69916^2 .

It is not a de Polignac number, because 5178097681 - 2¹³ = 5178089489 is a prime.

It is a super-2 number, since 2×5178097681² = 53625391187955155522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5178097601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16334535 + ... + 16334851.

Almost surely, 2^5178097681 is an apocalyptic number.

5178097681 is the 71959-th square number.

5178097681 is the 35980-th centered octagonal number.

It is an amenable number.

5178097681 is a deficient number, since it is larger than the sum of its proper divisors (39370218).

5178097681 is an frugal number, since it uses more digits than its factorization.

5178097681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 52.

The cubic root of 5178097681 is about 1730.0423971923.

The spelling of 5178097681 in words is "five billion, one hundred seventy-eight million, ninety-seven thousand, six hundred eighty-one".