513066065245335 has 144 divisors (see below), whose sum is σ = 1038927401366400. Its totient is φ = 233542851397632.

The previous prime is 513066065245313. The next prime is 513066065245343. The reversal of 513066065245335 is 533542560660315.

513066065245335 is a `hidden beast` number, since 5 + 1 + 3 + 0 + 6 + 6 + 0 + 65 + 245 + 335 = 666.

It is not a de Polignac number, because 513066065245335 - 2²⁰ = 513066064196759 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7249834831 + ... + 7249905599.

It is an arithmetic number, because the mean of its divisors is an integer number (7214773620600).

Almost surely, 2^{513066065245335} is an apocalyptic number.

513066065245335 is an abundant number, since it is smaller than the sum of its proper divisors (525861336121065).

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

513066065245335 is a wasteful number, since it uses less digits than its factorization.

513066065245335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84790 (or 84780 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 54.

The spelling of 513066065245335 in words is "five hundred thirteen trillion, sixty-six billion, sixty-five million, two hundred forty-five thousand, three hundred thirty-five".