509924130 has 64 divisors (see below), whose sum is σ = 1264750848. Its totient is φ = 131505920.

The previous prime is 509924123. The next prime is 509924159. The reversal of 509924130 is 31429905.

It is a junction number, because it is equal to n+sod(n) for n = 509924091 and 509924100.

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, 110632 + ... + 115148.

It is an arithmetic number, because the mean of its divisors is an integer number (19761732).

Almost surely, 2^509924130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509924130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632375424).

509924130 is an abundant number, since it is smaller than the sum of its proper divisors (754826718).

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

509924130 is a wasteful number, since it uses less digits than its factorization.

509924130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 509924130 is about 22581.4997287603. The cubic root of 509924130 is about 798.9173532142.

The spelling of 509924130 in words is "five hundred nine million, nine hundred twenty-four thousand, one hundred thirty".