518067413361 has 27 divisors (see below), whose sum is σ = 758161542411. Its totient is φ = 340894114704.

The previous prime is 518067413323. The next prime is 518067413363. The reversal of 518067413361 is 163314760815.

The square root of 518067413361 is 719769.

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

518067413361 is a `hidden beast` number, since 518 + 0 + 6 + 7 + 41 + 33 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 438793632225 + 79273781136 = 662415^2 + 281556^2 .

It is not a de Polignac number, because 518067413361 - 2²³ = 518059024753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (518067413363) 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, 170583735 + ... + 170586771.

Almost surely, 2^518067413361 is an apocalyptic number.

518067413361 is the 719769-th square number.

518067413361 is the 359885-th centered octagonal number.

It is an amenable number.

518067413361 is a deficient number, since it is larger than the sum of its proper divisors (240094129050).

518067413361 is an frugal number, since it uses more digits than its factorization.

518067413361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 518067413361 in words is "five hundred eighteen billion, sixty-seven million, four hundred thirteen thousand, three hundred sixty-one".