513087841144065 has 16 divisors (see below), whose sum is σ = 895571504542656. Its totient is φ = 248769862372800.

The previous prime is 513087841144037. The next prime is 513087841144181. The reversal of 513087841144065 is 560441148780315.

It is not a de Polignac number, because 513087841144065 - 2²⁸ = 513087572708609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513087841143996 and 513087841144014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1554811639666 + ... + 1554811639995.

It is an arithmetic number, because the mean of its divisors is an integer number (55973219033916).

Almost surely, 2^{513087841144065} is an apocalyptic number.

513087841144065 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513087841144065 is a deficient number, since it is larger than the sum of its proper divisors (382483663398591).

513087841144065 is a wasteful number, since it uses less digits than its factorization.

513087841144065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109623279680.

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 513087841144065 in words is "five hundred thirteen trillion, eighty-seven billion, eight hundred forty-one million, one hundred forty-four thousand, sixty-five".