515093256216 has 256 divisors, whose sum is σ = 1810501632000. Its totient is φ = 131793298560.

The previous prime is 515093256211. The next prime is 515093256259. The reversal of 515093256216 is 612652390515.

515093256216 is a `hidden beast` number, since 5 + 1 + 50 + 9 + 32 + 562 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515093256211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883225 + ... + 1345463.

It is an arithmetic number, because the mean of its divisors is an integer number (7072272000).

Almost surely, 2^515093256216 is an apocalyptic number.

515093256216 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 515093256216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905250816000).

515093256216 is an abundant number, since it is smaller than the sum of its proper divisors (1295408375784).

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

515093256216 is a wasteful number, since it uses less digits than its factorization.

515093256216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462339 (or 462329 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 515093256216 in words is "five hundred fifteen billion, ninety-three million, two hundred fifty-six thousand, two hundred sixteen".