520730100 has 288 divisors, whose sum is σ = 1856131200. Its totient is φ = 124185600.

The previous prime is 520730087. The next prime is 520730113. The reversal of 520730100 is 1037025.

It is an interprime number because it is at equal distance from previous prime (520730087) and next prime (520730113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2643202 + ... + 2643398.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^520730100 is an apocalyptic number.

520730100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520730100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928065600).

520730100 is an abundant number, since it is smaller than the sum of its proper divisors (1335401100).

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

520730100 is a wasteful number, since it uses less digits than its factorization.

520730100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 520730100 is about 22819.5113882835. The cubic root of 520730100 is about 804.5213259589.

Adding to 520730100 its reverse (1037025), we get a palindrome (521767125).

The spelling of 520730100 in words is "five hundred twenty million, seven hundred thirty thousand, one hundred".