513288216 has 48 divisors (see below), whose sum is σ = 1588750800. Its totient is φ = 146653632.

The previous prime is 513288169. The next prime is 513288239. The reversal of 513288216 is 612882315.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 508711 + ... + 509718.

It is an arithmetic number, because the mean of its divisors is an integer number (33098975).

Almost surely, 2^513288216 is an apocalyptic number.

513288216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513288216 is an abundant number, since it is smaller than the sum of its proper divisors (1075462584).

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

513288216 is a wasteful number, since it uses less digits than its factorization.

513288216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018448 (or 1018441 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 513288216 is about 22655.8649360381. The cubic root of 513288216 is about 800.6703839082.

The spelling of 513288216 in words is "five hundred thirteen million, two hundred eighty-eight thousand, two hundred sixteen".