505515312016 has 225 divisors, whose sum is σ = 1177038096195. Its totient is φ = 210227297280.

The previous prime is 505515312011. The next prime is 505515312017. The reversal of 505515312016 is 610213515505.

The square root of 505515312016 is 710996.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 377236726416 + 128278585600 = 614196^2 + 358160^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (505515312011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4473586776 + ... + 4473586888.

Almost surely, 2^505515312016 is an apocalyptic number.

505515312016 is the 710996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505515312016

505515312016 is an abundant number, since it is smaller than the sum of its proper divisors (671522784179).

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

505515312016 is an equidigital number, since it uses as much as digits as its factorization.

505515312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 505515312016 in words is "five hundred five billion, five hundred fifteen million, three hundred twelve thousand, sixteen".