513663414456 has 64 divisors (see below), whose sum is σ = 1359774773280. Its totient is φ = 161140121600.

The previous prime is 513663414449. The next prime is 513663414487. The reversal of 513663414456 is 654414366315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12446656 + ... + 12487856.

Almost surely, 2^513663414456 is an apocalyptic number.

It is an amenable number.

513663414456 is an abundant number, since it is smaller than the sum of its proper divisors (846111358824).

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

513663414456 is a wasteful number, since it uses less digits than its factorization.

513663414456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71784 (or 71780 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 513663414456 in words is "five hundred thirteen billion, six hundred sixty-three million, four hundred fourteen thousand, four hundred fifty-six".