513491616 has 192 divisors, whose sum is σ = 1653644160. Its totient is φ = 153722880.

The previous prime is 513491611. The next prime is 513491617. The reversal of 513491616 is 616194315.

513491616 is a `hidden beast` number, since 5 + 1 + 34 + 9 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (513491611) 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 31 ways as a sum of consecutive naturals, for example, 921610 + ... + 922166.

It is an arithmetic number, because the mean of its divisors is an integer number (8612730).

Almost surely, 2^513491616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513491616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826822080).

513491616 is an abundant number, since it is smaller than the sum of its proper divisors (1140152544).

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

513491616 is a wasteful number, since it uses less digits than its factorization.

513491616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 670 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 513491616 is about 22660.3533953026. The cubic root of 513491616 is about 800.7761301174.

The spelling of 513491616 in words is "five hundred thirteen million, four hundred ninety-one thousand, six hundred sixteen".