513384660 has 108 divisors (see below), whose sum is σ = 1580679828. Its totient is φ = 134873856.

The previous prime is 513384653. The next prime is 513384689. The reversal of 513384660 is 66483315.

513384660 is a `hidden beast` number, since 513 + 3 + 84 + 6 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 324432144 + 188952516 = 18012^2 + 13746^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1123152 + ... + 1123608.

Almost surely, 2^513384660 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 513384660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790339914).

513384660 is an abundant number, since it is smaller than the sum of its proper divisors (1067295168).

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

513384660 is a wasteful number, since it uses less digits than its factorization.

513384660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 513384660 is about 22657.9932915517. The cubic root of 513384660 is about 800.7205279379.

The spelling of 513384660 in words is "five hundred thirteen million, three hundred eighty-four thousand, six hundred sixty".