513966720 has 256 divisors, whose sum is σ = 1757174400. Its totient is φ = 127401984.

The previous prime is 513966707. The next prime is 513966721. The reversal of 513966720 is 27669315.

It is not an unprimeable number, because it can be changed into a prime (513966721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2662944 + ... + 2663136.

Almost surely, 2^513966720 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 513966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878587200).

513966720 is an abundant number, since it is smaller than the sum of its proper divisors (1243207680).

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

513966720 is a wasteful number, since it uses less digits than its factorization.

513966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 513966720 is about 22670.8341266924. The cubic root of 513966720 is about 801.0230245516.

The spelling of 513966720 in words is "five hundred thirteen million, nine hundred sixty-six thousand, seven hundred twenty".