505315512 has 96 divisors (see below), whose sum is σ = 1513774080. Its totient is φ = 151269120.

The previous prime is 505315487. The next prime is 505315513. The reversal of 505315512 is 215513505.

505315512 is a `hidden beast` number, since 505 + 3 + 155 + 1 + 2 = 666.

It is a super-4 number, since 4×505315512⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505315513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27337 + ... + 41927.

It is an arithmetic number, because the mean of its divisors is an integer number (15768480).

Almost surely, 2^505315512 is an apocalyptic number.

505315512 is a gapful number since it is divisible by the number (52) 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 505315512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756887040).

505315512 is an abundant number, since it is smaller than the sum of its proper divisors (1008458568).

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

505315512 is a wasteful number, since it uses less digits than its factorization.

505315512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14653 (or 14646 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 505315512 is about 22479.2240079590. The cubic root of 505315512 is about 796.5032338856.

The spelling of 505315512 in words is "five hundred five million, three hundred fifteen thousand, five hundred twelve".