515761056 has 144 divisors (see below), whose sum is σ = 1559212200. Its totient is φ = 161409024.

The previous prime is 515761009. The next prime is 515761091. The reversal of 515761056 is 650167515.

It can be written as a sum of positive squares in 4 ways, for example, as 506250000 + 9511056 = 22500^2 + 3084^2 .

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 515761056.

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 23 ways as a sum of consecutive naturals, for example, 308190 + ... + 309858.

Almost surely, 2^515761056 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 515761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779606100).

515761056 is an abundant number, since it is smaller than the sum of its proper divisors (1043451144).

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

515761056 is a wasteful number, since it uses less digits than its factorization.

515761056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 515761056 is about 22710.3733126516. The cubic root of 515761056 is about 801.9541062828.

The spelling of 515761056 in words is "five hundred fifteen million, seven hundred sixty-one thousand, fifty-six".