513958163307 has 8 divisors (see below), whose sum is σ = 685543275840. Its totient is φ = 342505913160.

The previous prime is 513958163281. The next prime is 513958163371. The reversal of 513958163307 is 703361859315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513958163307 - 2¹¹ = 513958161259 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 513958163307.

It is not an unprimeable number, because it can be changed into a prime (513958168307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33206569 + ... + 33222042.

It is an arithmetic number, because the mean of its divisors is an integer number (85692909480).

Almost surely, 2^513958163307 is an apocalyptic number.

513958163307 is a deficient number, since it is larger than the sum of its proper divisors (171585112533).

513958163307 is a wasteful number, since it uses less digits than its factorization.

513958163307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66431193.

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 513958163307 in words is "five hundred thirteen billion, nine hundred fifty-eight million, one hundred sixty-three thousand, three hundred seven".