513744896 has 168 divisors, whose sum is σ = 1287572736. Its totient is φ = 200540160.

The previous prime is 513744893. The next prime is 513744901. The reversal of 513744896 is 698447315.

It is a self number, because there is not a number n which added to its sum of digits gives 513744896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513744893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16572401 + ... + 16572431.

Almost surely, 2^513744896 is an apocalyptic number.

513744896 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 513744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643786368).

513744896 is an abundant number, since it is smaller than the sum of its proper divisors (773827840).

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

513744896 is an equidigital number, since it uses as much as digits as its factorization.

513744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 57 counting only the distinct ones).

The product of its digits is 725760, while the sum is 47.

The square root of 513744896 is about 22665.9413217276. The cubic root of 513744896 is about 800.9077695534.

The spelling of 513744896 in words is "five hundred thirteen million, seven hundred forty-four thousand, eight hundred ninety-six".