513836900 has 144 divisors (see below), whose sum is σ = 1237420800. Its totient is φ = 184412160.

The previous prime is 513836891. The next prime is 513836903. The reversal of 513836900 is 9638315.

It is a super-2 number, since 2×513836900² = 528056719603220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513836903) 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, 4714046 + ... + 4714154.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2^513836900 is an apocalyptic number.

513836900 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 513836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

513836900 is an abundant number, since it is smaller than the sum of its proper divisors (723583900).

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

513836900 is a wasteful number, since it uses less digits than its factorization.

513836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 513836900 is about 22667.9707958167. The cubic root of 513836900 is about 800.9555768866.

The spelling of 513836900 in words is "five hundred thirteen million, eight hundred thirty-six thousand, nine hundred".