513871680 has 224 divisors, whose sum is σ = 1905463296. Its totient is φ = 114886656.

The previous prime is 513871667. The next prime is 513871693. The reversal of 513871680 is 86178315.

It is an interprime number because it is at equal distance from previous prime (513871667) and next prime (513871693).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315027 + ... + 316653.

Almost surely, 2^513871680 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 513871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952731648).

513871680 is an abundant number, since it is smaller than the sum of its proper divisors (1391591616).

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

513871680 is a wasteful number, since it uses less digits than its factorization.

513871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 513871680 is about 22668.7379445791. The cubic root of 513871680 is about 800.9736478649.

The spelling of 513871680 in words is "five hundred thirteen million, eight hundred seventy-one thousand, six hundred eighty".