513473100 has 288 divisors, whose sum is σ = 1894878720. Its totient is φ = 104509440.

The previous prime is 513473069. The next prime is 513473141. The reversal of 513473100 is 1374315.

513473100 = 8008² + 8009² + ... + 8015².

It is a super-2 number, since 2×513473100² = 527309248847220000, which contains 22 as substring.

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, 677922 + ... + 678678.

It is an arithmetic number, because the mean of its divisors is an integer number (6579440).

Almost surely, 2^513473100 is an apocalyptic number.

513473100 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 513473100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947439360).

513473100 is an abundant number, since it is smaller than the sum of its proper divisors (1381405620).

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

513473100 is a wasteful number, since it uses less digits than its factorization.

513473100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 513473100 is about 22659.9448366495. The cubic root of 513473100 is about 800.7665049365.

The spelling of 513473100 in words is "five hundred thirteen million, four hundred seventy-three thousand, one hundred".