513717630 has 64 divisors (see below), whose sum is σ = 1300631040. Its totient is φ = 129499776.

The previous prime is 513717623. The next prime is 513717653. The reversal of 513717630 is 36717315.

It is a junction number, because it is equal to n+sod(n) for n = 513717591 and 513717600.

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, 422904 + ... + 424116.

It is an arithmetic number, because the mean of its divisors is an integer number (20322360).

Almost surely, 2^513717630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513717630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650315520).

513717630 is an abundant number, since it is smaller than the sum of its proper divisors (786913410).

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

513717630 is a wasteful number, since it uses less digits than its factorization.

513717630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985.

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 513717630 is about 22665.3398386170. The cubic root of 513717630 is about 800.8936004345.

The spelling of 513717630 in words is "five hundred thirteen million, seven hundred seventeen thousand, six hundred thirty".