513440316 has 48 divisors (see below), whose sum is σ = 1389024000. Its totient is φ = 163704816.

The previous prime is 513440311. The next prime is 513440351. The reversal of 513440316 is 613044315.

513440316 is a `hidden beast` number, since 5 + 1 + 344 + 0 + 316 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 513440316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513440311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100866 + ... + 105833.

It is an arithmetic number, because the mean of its divisors is an integer number (28938000).

Almost surely, 2^513440316 is an apocalyptic number.

It is an amenable number.

513440316 is an abundant number, since it is smaller than the sum of its proper divisors (875583684).

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

513440316 is a wasteful number, since it uses less digits than its factorization.

513440316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206735 (or 206727 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 513440316 is about 22659.2214341093. The cubic root of 513440316 is about 800.7494622470.

The spelling of 513440316 in words is "five hundred thirteen million, four hundred forty thousand, three hundred sixteen".