513979830 has 320 divisors, whose sum is σ = 1795368960. Its totient is φ = 102456576.

The previous prime is 513979769. The next prime is 513979867. The reversal of 513979830 is 38979315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1400307 + ... + 1400673.

It is an arithmetic number, because the mean of its divisors is an integer number (5610528).

Almost surely, 2^513979830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513979830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897684480).

513979830 is an abundant number, since it is smaller than the sum of its proper divisors (1281389130).

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

513979830 is a wasteful number, since it uses less digits than its factorization.

513979830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 513979830 is about 22671.1232628646. The cubic root of 513979830 is about 801.0298351888.

The spelling of 513979830 in words is "five hundred thirteen million, nine hundred seventy-nine thousand, eight hundred thirty".