518400000001 has 16 divisors (see below), whose sum is σ = 577830551760. Its totient is φ = 461780121600.

The previous prime is 518399999983. The next prime is 518400000031. The reversal of 518400000001 is 100000004815.

It is a Cunningham number, because it is equal to 720000²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 66473214976 + 451926785025 = 257824^2 + 672255^2 .

It is a cyclic number.

It is not a de Polignac number, because 518400000001 - 2³⁵ = 484040261633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (518400000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361801 + ... + 1080601.

It is an arithmetic number, because the mean of its divisors is an integer number (36114409485).

Almost surely, 2^518400000001 is an apocalyptic number.

It is an amenable number.

518400000001 is a deficient number, since it is larger than the sum of its proper divisors (59430551759).

518400000001 is a wasteful number, since it uses less digits than its factorization.

518400000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720756.

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 518400000001 its reverse (100000004815), we get a palindrome (618400004816).

The spelling of 518400000001 in words is "five hundred eighteen billion, four hundred million, one", and thus it is an aban number.