513115220414305 has 12 divisors (see below), whose sum is σ = 654088744640700. Its totient is φ = 386345577722624.

The previous prime is 513115220414297. The next prime is 513115220414341. The reversal of 513115220414305 is 503414022511315.

It can be written as a sum of positive squares in 6 ways, for example, as 6620570864209 + 506494649550096 = 2573047^2 + 22505436^2 .

It is not a de Polignac number, because 513115220414305 - 2³ = 513115220414297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177548517730 + ... + 177548520619.

It is an arithmetic number, because the mean of its divisors is an integer number (54507395386725).

Almost surely, 2^{513115220414305} is an apocalyptic number.

It is an amenable number.

513115220414305 is a deficient number, since it is larger than the sum of its proper divisors (140973524226395).

513115220414305 is a wasteful number, since it uses less digits than its factorization.

513115220414305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355097038388 (or 355097038371 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 513115220414305 in words is "five hundred thirteen trillion, one hundred fifteen billion, two hundred twenty million, four hundred fourteen thousand, three hundred five".