513483800 has 48 divisors (see below), whose sum is σ = 1201932000. Its totient is φ = 204003200.

The previous prime is 513483799. The next prime is 513483821. The reversal of 513483800 is 8384315.

It is a happy number.

It is a super-2 number, since 2×513483800² = 527331225724880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21185 + ... + 38415.

It is an arithmetic number, because the mean of its divisors is an integer number (25040250).

Almost surely, 2^513483800 is an apocalyptic number.

513483800 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 513483800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600966000).

513483800 is an abundant number, since it is smaller than the sum of its proper divisors (688448200).

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

513483800 is a wasteful number, since it uses less digits than its factorization.

513483800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17396 (or 17387 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 513483800 is about 22660.1809348469. The cubic root of 513483800 is about 800.7720671507.

The spelling of 513483800 in words is "five hundred thirteen million, four hundred eighty-three thousand, eight hundred".