513004500 has 72 divisors (see below), whose sum is σ = 1618372392. Its totient is φ = 136800000.

The previous prime is 513004493. The next prime is 513004537. The reversal of 513004500 is 5400315.

It can be written as a sum of positive squares in 4 ways, for example, as 5673924 + 507330576 = 2382^2 + 22524^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 52501 + ... + 61500.

Almost surely, 2^513004500 is an apocalyptic number.

513004500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513004500 is an abundant number, since it is smaller than the sum of its proper divisors (1105367892).

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

513004500 is a wasteful number, since it uses less digits than its factorization.

513004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114026 (or 114011 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 513004500 is about 22649.6026455212. The cubic root of 513004500 is about 800.5228353129.

Adding to 513004500 its reverse (5400315), we get a palindrome (518404815).

The spelling of 513004500 in words is "five hundred thirteen million, four thousand, five hundred".