513205400 has 24 divisors (see below), whose sum is σ = 1193203020. Its totient is φ = 205282080.

The previous prime is 513205391. The next prime is 513205411. The reversal of 513205400 is 4502315.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1282814 + ... + 1283213.

Almost surely, 2^513205400 is an apocalyptic number.

513205400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513205400 is an abundant number, since it is smaller than the sum of its proper divisors (679997620).

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

513205400 is a wasteful number, since it uses less digits than its factorization.

513205400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566043 (or 2566034 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 513205400 is about 22654.0371677986. The cubic root of 513205400 is about 800.6273204577.

Adding to 513205400 its reverse (4502315), we get a palindrome (517707715).

The spelling of 513205400 in words is "five hundred thirteen million, two hundred five thousand, four hundred".