515208841056 has 1152 divisors, whose sum is σ = 1936134144000. Its totient is φ = 134809339392.

The previous prime is 515208841051. The next prime is 515208841073. The reversal of 515208841056 is 650148802515.

515208841056 is a `hidden beast` number, since 5 + 1 + 520 + 88 + 41 + 0 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515208841051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4056762465 + ... + 4056762591.

It is an arithmetic number, because the mean of its divisors is an integer number (1680672000).

Almost surely, 2^515208841056 is an apocalyptic number.

515208841056 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 515208841056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968067072000).

515208841056 is an abundant number, since it is smaller than the sum of its proper divisors (1420925302944).

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

515208841056 is an equidigital number, since it uses as much as digits as its factorization.

515208841056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 515208841056 in words is "five hundred fifteen billion, two hundred eight million, eight hundred forty-one thousand, fifty-six".