513833056 has 96 divisors (see below), whose sum is σ = 1133546400. Its totient is φ = 227328000.

The previous prime is 513833053. The next prime is 513833059. The reversal of 513833056 is 650338315.

It is an interprime number because it is at equal distance from previous prime (513833053) and next prime (513833059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513833051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3448470 + ... + 3448618.

It is an arithmetic number, because the mean of its divisors is an integer number (11807775).

Almost surely, 2^513833056 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 513833056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566773200).

513833056 is an abundant number, since it is smaller than the sum of its proper divisors (619713344).

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

513833056 is a wasteful number, since it uses less digits than its factorization.

513833056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 513833056 is about 22667.8860064189. The cubic root of 513833056 is about 800.9535795725.

It can be divided in two parts, 513 and 833056, that added together give a square (833569 = 913²).

The spelling of 513833056 in words is "five hundred thirteen million, eight hundred thirty-three thousand, fifty-six".