513536313456 has 240 divisors, whose sum is σ = 1538544384000. Its totient is φ = 159430602240.

The previous prime is 513536313403. The next prime is 513536313487. The reversal of 513536313456 is 654313635315.

513536313456 is a `hidden beast` number, since 5 + 1 + 3 + 5 + 3 + 631 + 3 + 4 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51653446 + ... + 51663386.

It is an arithmetic number, because the mean of its divisors is an integer number (6410601600).

Almost surely, 2^513536313456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513536313456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769272192000).

513536313456 is an abundant number, since it is smaller than the sum of its proper divisors (1025008070544).

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

513536313456 is a wasteful number, since it uses less digits than its factorization.

513536313456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10292 (or 10283 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 513536313456 in words is "five hundred thirteen billion, five hundred thirty-six million, three hundred thirteen thousand, four hundred fifty-six".