513457056 has 144 divisors (see below), whose sum is σ = 1730723904. Its totient is φ = 146686464.

The previous prime is 513457013. The next prime is 513457067. The reversal of 513457056 is 650754315.

513457056 is a `hidden beast` number, since 5 + 1 + 34 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 513457056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49716 + ... + 59148.

It is an arithmetic number, because the mean of its divisors is an integer number (12018916).

Almost surely, 2^513457056 is an apocalyptic number.

513457056 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 513457056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865361952).

513457056 is an abundant number, since it is smaller than the sum of its proper divisors (1217266848).

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

513457056 is an equidigital number, since it uses as much as digits as its factorization.

513457056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9465 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 513457056 is about 22659.5908171352. The cubic root of 513457056 is about 800.7581645894.

The spelling of 513457056 in words is "five hundred thirteen million, four hundred fifty-seven thousand, fifty-six".