509417538 has 96 divisors (see below), whose sum is σ = 1246250880. Its totient is φ = 135744000.

The previous prime is 509417507. The next prime is 509417539. The reversal of 509417538 is 835714905.

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

It is a self number, because there is not a number n which added to its sum of digits gives 509417538.

It is not an unprimeable number, because it can be changed into a prime (509417539) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5043688 + ... + 5043788.

It is an arithmetic number, because the mean of its divisors is an integer number (12981780).

Almost surely, 2^509417538 is an apocalyptic number.

509417538 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 509417538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623125440).

509417538 is an abundant number, since it is smaller than the sum of its proper divisors (736833342).

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

509417538 is a wasteful number, since it uses less digits than its factorization.

509417538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 509417538 is about 22570.2799716796. The cubic root of 509417538 is about 798.6526999604.

The spelling of 509417538 in words is "five hundred nine million, four hundred seventeen thousand, five hundred thirty-eight".