513333228 has 48 divisors (see below), whose sum is σ = 1253790720. Its totient is φ = 163156224.

The previous prime is 513333209. The next prime is 513333229. The reversal of 513333228 is 822333315.

It is a super-2 number, since 2×513333228² = 527022005937799968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 513333195 and 513333204.

It is not an unprimeable number, because it can be changed into a prime (513333229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90253 + ... + 95771.

It is an arithmetic number, because the mean of its divisors is an integer number (26120640).

Almost surely, 2^513333228 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 513333228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626895360).

513333228 is an abundant number, since it is smaller than the sum of its proper divisors (740457492).

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

513333228 is a wasteful number, since it uses less digits than its factorization.

513333228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5884 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 513333228 is about 22656.8582994201. The cubic root of 513333228 is about 800.6937877326.

The spelling of 513333228 in words is "five hundred thirteen million, three hundred thirty-three thousand, two hundred twenty-eight".