513216619352640 has 336 divisors, whose sum is σ = 2123610624520320. Its totient is φ = 111132621250560.

The previous prime is 513216619352639. The next prime is 513216619352681. The reversal of 513216619352640 is 46253916612315.

513216619352640 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 66 + 19 + 3 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669542581 + ... + 670308660.

Almost surely, 2^{513216619352640} is an apocalyptic number.

It is an amenable number.

513216619352640 is an abundant number, since it is smaller than the sum of its proper divisors (1610394005167680).

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

513216619352640 is a wasteful number, since it uses less digits than its factorization.

513216619352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339851290 (or 1339851277 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 513216619352640 in words is "five hundred thirteen trillion, two hundred sixteen billion, six hundred nineteen million, three hundred fifty-two thousand, six hundred forty".