513046500 has 96 divisors (see below), whose sum is σ = 1501997952. Its totient is φ = 136080000.

The previous prime is 513046481. The next prime is 513046507. The reversal of 513046500 is 5640315.

It is a super-2 number, since 2×513046500² = 526433422324500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (513046507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 315690 + ... + 317310.

It is an arithmetic number, because the mean of its divisors is an integer number (15645812).

Almost surely, 2^513046500 is an apocalyptic number.

513046500 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 513046500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750998976).

513046500 is an abundant number, since it is smaller than the sum of its proper divisors (988951452).

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

513046500 is a wasteful number, since it uses less digits than its factorization.

513046500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 513046500 is about 22650.5297951284. The cubic root of 513046500 is about 800.5446811522.

Adding to 513046500 its reverse (5640315), we get a palindrome (518686815).

The spelling of 513046500 in words is "five hundred thirteen million, forty-six thousand, five hundred".