510304242 has 64 divisors (see below), whose sum is σ = 1270195200. Its totient is φ = 133358400.

The previous prime is 510304231. The next prime is 510304253. The reversal of 510304242 is 242403015.

It is an interprime number because it is at equal distance from previous prime (510304231) and next prime (510304253).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12117 + ... + 34167.

It is an arithmetic number, because the mean of its divisors is an integer number (19846800).

Almost surely, 2^510304242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510304242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635097600).

510304242 is an abundant number, since it is smaller than the sum of its proper divisors (759890958).

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

510304242 is a wasteful number, since it uses less digits than its factorization.

510304242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22111.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 510304242 is about 22589.9146080723. The cubic root of 510304242 is about 799.1158158413.

Adding to 510304242 its reverse (242403015), we get a palindrome (752707257).

The spelling of 510304242 in words is "five hundred ten million, three hundred four thousand, two hundred forty-two".