513918930 has 128 divisors (see below), whose sum is σ = 1473085440. Its totient is φ = 112273920.

The previous prime is 513918883. The next prime is 513918941. The reversal of 513918930 is 39819315.

It is a super-2 number, since 2×513918930² = 528225333224689800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 578947 + ... + 579833.

It is an arithmetic number, because the mean of its divisors is an integer number (11508480).

Almost surely, 2^513918930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513918930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736542720).

513918930 is an abundant number, since it is smaller than the sum of its proper divisors (959166510).

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

513918930 is a wasteful number, since it uses less digits than its factorization.

513918930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024.

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 513918930 is about 22669.7801048003. The cubic root of 513918930 is about 800.9981966945.

The spelling of 513918930 in words is "five hundred thirteen million, nine hundred eighteen thousand, nine hundred thirty".