513116505 has 32 divisors (see below), whose sum is σ = 995137920. Its totient is φ = 248783040.

The previous prime is 513116497. The next prime is 513116551. The reversal of 513116505 is 505611315.

513116505 is a `hidden beast` number, since 5 + 1 + 3 + 1 + 1 + 650 + 5 = 666.

It is not a de Polignac number, because 513116505 - 2³ = 513116497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171282 + ... + 174251.

It is an arithmetic number, because the mean of its divisors is an integer number (31098060).

Almost surely, 2^513116505 is an apocalyptic number.

513116505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513116505 is a deficient number, since it is larger than the sum of its proper divisors (482021415).

513116505 is a wasteful number, since it uses less digits than its factorization.

513116505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345558 (or 345552 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 513116505 is about 22652.0750705095. The cubic root of 513116505 is about 800.5810908354.

The spelling of 513116505 in words is "five hundred thirteen million, one hundred sixteen thousand, five hundred five".