509709834 has 40 divisors (see below), whose sum is σ = 1146294468. Its totient is φ = 169283520.

The previous prime is 509709799. The next prime is 509709859. The reversal of 509709834 is 438907905.

It can be written as a sum of positive squares in 2 ways, for example, as 508277025 + 1432809 = 22545^2 + 1197^2 .

It is a super-2 number, since 2×509709834² = 519608229752615112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 509709834.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 39924 + ... + 51120.

Almost surely, 2^509709834 is an apocalyptic number.

509709834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 509709834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573147234).

509709834 is an abundant number, since it is smaller than the sum of its proper divisors (636584634).

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

509709834 is a wasteful number, since it uses less digits than its factorization.

509709834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11492 (or 11483 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 509709834 is about 22576.7542839975. The cubic root of 509709834 is about 798.8054223264.

The spelling of 509709834 in words is "five hundred nine million, seven hundred nine thousand, eight hundred thirty-four".