513916704 has 288 divisors, whose sum is σ = 1781136000. Its totient is φ = 143700480.

The previous prime is 513916691. The next prime is 513916721. The reversal of 513916704 is 407619315.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×513916704² = 528220757300447232, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582397 + ... + 2582595.

It is an arithmetic number, because the mean of its divisors is an integer number (6184500).

Almost surely, 2^513916704 is an apocalyptic number.

513916704 is a gapful number since it is divisible by the number (54) 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 513916704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568000).

513916704 is an abundant number, since it is smaller than the sum of its proper divisors (1267219296).

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

513916704 is a wasteful number, since it uses less digits than its factorization.

513916704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 513916704 is about 22669.7310085497. The cubic root of 513916704 is about 800.9970402056.

The spelling of 513916704 in words is "five hundred thirteen million, nine hundred sixteen thousand, seven hundred four".