509813934 has 80 divisors (see below), whose sum is σ = 1218636672. Its totient is φ = 142100784.

The previous prime is 509813917. The next prime is 509813957. The reversal of 509813934 is 439318905.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 619047 + ... + 619869.

Almost surely, 2^509813934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509813934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609318336).

509813934 is an abundant number, since it is smaller than the sum of its proper divisors (708822738).

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

509813934 is an equidigital number, since it uses as much as digits as its factorization.

509813934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 509813934 is about 22579.0596349804. The cubic root of 509813934 is about 798.8597996594.

The spelling of 509813934 in words is "five hundred nine million, eight hundred thirteen thousand, nine hundred thirty-four".