513201343102315 has 16 divisors (see below), whose sum is σ = 740862089291520. Its totient is φ = 333387940180320.

The previous prime is 513201343102289. The next prime is 513201343102379.

513201343102315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513201343102315 - 2¹⁹ = 513201342578027 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 385865670841 + ... + 385865672170.

It is an arithmetic number, because the mean of its divisors is an integer number (46303880580720).

Almost surely, 2^{513201343102315} is an apocalyptic number.

513201343102315 is a deficient number, since it is larger than the sum of its proper divisors (227660746189205).

513201343102315 is a wasteful number, since it uses less digits than its factorization.

513201343102315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771731343042.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 513201343102315 in words is "five hundred thirteen trillion, two hundred one billion, three hundred forty-three million, one hundred two thousand, three hundred fifteen".