5181309510001 has 27 divisors (see below), whose sum is σ = 5536146546787. Its totient is φ = 4848228270080.

The previous prime is 5181309509993. The next prime is 5181309510011. The reversal of 5181309510001 is 1000159031815.

It is a happy number.

The square root of 5181309510001 is 2276249.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12780076401 + 5168529433600 = 113049^2 + 2273440^2 .

It is not a de Polignac number, because 5181309510001 - 2³ = 5181309509993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5181309510011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9944931621 + ... + 9944932141.

Almost surely, 2^{5181309510001} is an apocalyptic number.

5181309510001 is the 2276249-th square number.

5181309510001 is the 1138125-th centered octagonal number.

It is an amenable number.

5181309510001 is a deficient number, since it is larger than the sum of its proper divisors (354837036786).

5181309510001 is an frugal number, since it uses more digits than its factorization.

5181309510001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 34.

The spelling of 5181309510001 in words is "five trillion, one hundred eighty-one billion, three hundred nine million, five hundred ten thousand, one".