513954511056 has 480 divisors, whose sum is σ = 1790765383680. Its totient is φ = 134282188800.

The previous prime is 513954511051. The next prime is 513954511067. The reversal of 513954511056 is 650115459315.

513954511056 is a `hidden beast` number, since 5 + 1 + 3 + 95 + 451 + 105 + 6 = 666.

513954511056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513954511051) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298636276 + ... + 298637996.

It is an arithmetic number, because the mean of its divisors is an integer number (3730761216).

Almost surely, 2^513954511056 is an apocalyptic number.

513954511056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513954511056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895382691840).

513954511056 is an abundant number, since it is smaller than the sum of its proper divisors (1276810872624).

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

513954511056 is a wasteful number, since it uses less digits than its factorization.

513954511056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 513954511056 in words is "five hundred thirteen billion, nine hundred fifty-four million, five hundred eleven thousand, fifty-six".