513512406165 has 48 divisors (see below), whose sum is σ = 936977186880. Its totient is φ = 238150640640.

The previous prime is 513512406163. The next prime is 513512406191. The reversal of 513512406165 is 561604215315.

It is not a de Polignac number, because 513512406165 - 2¹ = 513512406163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513512406163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2854300 + ... + 3028869.

It is an arithmetic number, because the mean of its divisors is an integer number (19520358060).

Almost surely, 2^513512406165 is an apocalyptic number.

513512406165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513512406165 is a deficient number, since it is larger than the sum of its proper divisors (423464780715).

513512406165 is a wasteful number, since it uses less digits than its factorization.

513512406165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5883234 (or 5883211 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 513512406165 in words is "five hundred thirteen billion, five hundred twelve million, four hundred six thousand, one hundred sixty-five".