509137920 has 352 divisors, whose sum is σ = 1886515200. Its totient is φ = 130056192.

The previous prime is 509137883. The next prime is 509137943. The reversal of 509137920 is 29731905.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4008897 + ... + 4009023.

Almost surely, 2^509137920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 509137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943257600).

509137920 is an abundant number, since it is smaller than the sum of its proper divisors (1377377280).

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

509137920 is a wasteful number, since it uses less digits than its factorization.

509137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 509137920 is about 22564.0847365897. The cubic root of 509137920 is about 798.5065470661.

The spelling of 509137920 in words is "five hundred nine million, one hundred thirty-seven thousand, nine hundred twenty".