513054200 has 48 divisors (see below), whose sum is σ = 1194451080. Its totient is φ = 204946560.

The previous prime is 513054181. The next prime is 513054259. The reversal of 513054200 is 2450315.

It is a super-2 number, since 2×513054200² = 526449224275280000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 217427 + ... + 219773.

Almost surely, 2^513054200 is an apocalyptic number.

513054200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

513054200 is an abundant number, since it is smaller than the sum of its proper divisors (681396880).

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

513054200 is a wasteful number, since it uses less digits than its factorization.

513054200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3447 counting only the distinct ones).

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

The square root of 513054200 is about 22650.6997684398. The cubic root of 513054200 is about 800.5486860934.

The spelling of 513054200 in words is "five hundred thirteen million, fifty-four thousand, two hundred".