505418000513 has 6 divisors (see below), whose sum is σ = 516400376706. Its totient is φ = 494664423872.

The previous prime is 505418000509. The next prime is 505418000533. The reversal of 505418000513 is 315000814505.

It can be written as a sum of positive squares in only one way, i.e., 504942411649 + 475588864 = 710593^2 + 21808^2 .

It is not a de Polignac number, because 505418000513 - 2² = 505418000509 is a prime.

It is a super-3 number, since 3×505418000513³ (a number of 36 digits) contains 333 as substring.

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 505418000513.

It is not an unprimeable number, because it can be changed into a prime (505418000533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114397520 + ... + 114401937.

It is an arithmetic number, because the mean of its divisors is an integer number (86066729451).

Almost surely, 2^505418000513 is an apocalyptic number.

It is an amenable number.

505418000513 is a deficient number, since it is larger than the sum of its proper divisors (10982376193).

505418000513 is an equidigital number, since it uses as much as digits as its factorization.

505418000513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228799551 (or 228799504 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 505418000513 in words is "five hundred five billion, four hundred eighteen million, five hundred thirteen", and thus it is an aban number.