518842174249 has 27 divisors (see below), whose sum is σ = 641248457637. Its totient is φ = 418492604544.

The previous prime is 518842174243. The next prime is 518842174267. The reversal of 518842174249 is 942471248815.

The square root of 518842174249 is 720307.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23929924249 + 494912250000 = 154693^2 + 703500^2 .

It is not a de Polignac number, because 518842174249 - 2³ = 518842174241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 518842174249.

It is not an unprimeable number, because it can be changed into a prime (518842174241) 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, 85713507 + ... + 85719559.

Almost surely, 2^518842174249 is an apocalyptic number.

518842174249 is the 720307-th square number.

518842174249 is the 360154-th centered octagonal number.

It is an amenable number.

518842174249 is a deficient number, since it is larger than the sum of its proper divisors (122406283388).

518842174249 is an frugal number, since it uses more digits than its factorization.

518842174249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 6077 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 55.

The spelling of 518842174249 in words is "five hundred eighteen billion, eight hundred forty-two million, one hundred seventy-four thousand, two hundred forty-nine".