513442188 has 144 divisors (see below), whose sum is σ = 1550348800. Its totient is φ = 143138016.

The previous prime is 513442151. The next prime is 513442199. The reversal of 513442188 is 881244315.

513442188 is a `hidden beast` number, since 513 + 44 + 21 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530481 + ... + 531447.

Almost surely, 2^513442188 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 513442188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775174400).

513442188 is an abundant number, since it is smaller than the sum of its proper divisors (1036906612).

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

513442188 is a wasteful number, since it uses less digits than its factorization.

513442188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1022 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 513442188 is about 22659.2627417575. The cubic root of 513442188 is about 800.7504354216.

The spelling of 513442188 in words is "five hundred thirteen million, four hundred forty-two thousand, one hundred eighty-eight".