513951690011706 has 24 divisors (see below), whose sum is σ = 1113683391000180. Its totient is φ = 171298553700096.

The previous prime is 513951690011689. The next prime is 513951690011713. The reversal of 513951690011706 is 607110096159315.

513951690011706 is a `hidden beast` number, since 5 + 1 + 3 + 9 + 516 + 9 + 0 + 0 + 117 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 513894668870025 + 57021141681 = 22669245^2 + 238791^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1556188951 + ... + 1556519178.

Almost surely, 2^{513951690011706} is an apocalyptic number.

513951690011706 is an abundant number, since it is smaller than the sum of its proper divisors (599731700988474).

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

513951690011706 is a wasteful number, since it uses less digits than its factorization.

513951690011706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112717310 (or 3112717307 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 513951690011706 in words is "five hundred thirteen trillion, nine hundred fifty-one billion, six hundred ninety million, eleven thousand, seven hundred six".