513959706 has 48 divisors (see below), whose sum is σ = 1207369800. Its totient is φ = 157069440.

The previous prime is 513959687. The next prime is 513959707. The reversal of 513959706 is 607959315.

513959706 is a `hidden beast` number, since 51 + 3 + 9 + 597 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 397643481 + 116316225 = 19941^2 + 10785^2 .

It is not an unprimeable number, because it can be changed into a prime (513959707) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27496 + ... + 42236.

Almost surely, 2^513959706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513959706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603684900).

513959706 is an abundant number, since it is smaller than the sum of its proper divisors (693410094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513959706 is a wasteful number, since it uses less digits than its factorization.

513959706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14911 (or 14908 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 513959706 is about 22670.6794340179. The cubic root of 513959706 is about 801.0193807353.

The spelling of 513959706 in words is "five hundred thirteen million, nine hundred fifty-nine thousand, seven hundred six".