510130880 has 112 divisors (see below), whose sum is σ = 1436339520. Its totient is φ = 168849408.

The previous prime is 510130771. The next prime is 510130889. The reversal of 510130880 is 88031015.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510130889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61034 + ... + 68886.

It is an arithmetic number, because the mean of its divisors is an integer number (12824460).

Almost surely, 2^510130880 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 510130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718169760).

510130880 is an abundant number, since it is smaller than the sum of its proper divisors (926208640).

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

510130880 is a wasteful number, since it uses less digits than its factorization.

510130880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7896 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 510130880 is about 22586.0771272924. The cubic root of 510130880 is about 799.0253129638.

Adding to 510130880 its reverse (88031015), we get a palindrome (598161895).

The spelling of 510130880 in words is "five hundred ten million, one hundred thirty thousand, eight hundred eighty".