513287820 has 192 divisors, whose sum is σ = 1678320000. Its totient is φ = 130056192.

The previous prime is 513287809. The next prime is 513287839. The reversal of 513287820 is 28782315.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1142956 + ... + 1143404.

It is an arithmetic number, because the mean of its divisors is an integer number (8741250).

Almost surely, 2^513287820 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 513287820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839160000).

513287820 is an abundant number, since it is smaller than the sum of its proper divisors (1165032180).

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

513287820 is a wasteful number, since it uses less digits than its factorization.

513287820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 513287820 is about 22655.8561965775. The cubic root of 513287820 is about 800.6701780034.

The spelling of 513287820 in words is "five hundred thirteen million, two hundred eighty-seven thousand, eight hundred twenty".