513798816 has 24 divisors (see below), whose sum is σ = 1348722144. Its totient is φ = 171266240.

The previous prime is 513798811. The next prime is 513798821. The reversal of 513798816 is 618897315.

It is an interprime number because it is at equal distance from previous prime (513798811) and next prime (513798821).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (513798811) 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 3 ways as a sum of consecutive naturals, for example, 2675940 + ... + 2676131.

It is an arithmetic number, because the mean of its divisors is an integer number (56196756).

Almost surely, 2^513798816 is an apocalyptic number.

It is an amenable number.

513798816 is an abundant number, since it is smaller than the sum of its proper divisors (834923328).

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

513798816 is a wasteful number, since it uses less digits than its factorization.

513798816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352084 (or 5352076 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 513798816 is about 22667.1307403474. The cubic root of 513798816 is about 800.9357882819.

The spelling of 513798816 in words is "five hundred thirteen million, seven hundred ninety-eight thousand, eight hundred sixteen".