513681360 has 80 divisors (see below), whose sum is σ = 1635478656. Its totient is φ = 133277184.

The previous prime is 513681341. The next prime is 513681361. The reversal of 513681360 is 63186315.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×513681360² = 527737079222899200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513681361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20044 + ... + 37803.

Almost surely, 2^513681360 is an apocalyptic number.

It is an amenable number.

513681360 is an abundant number, since it is smaller than the sum of its proper divisors (1121797296).

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

513681360 is a wasteful number, since it uses less digits than its factorization.

513681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57900 (or 57894 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 513681360 is about 22664.5397041281. The cubic root of 513681360 is about 800.8747514970.

The spelling of 513681360 in words is "five hundred thirteen million, six hundred eighty-one thousand, three hundred sixty".