513232668 has 72 divisors (see below), whose sum is σ = 1426920768. Its totient is φ = 154551168.

The previous prime is 513232637. The next prime is 513232679. The reversal of 513232668 is 866232315.

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10330 + ... + 33662.

It is an arithmetic number, because the mean of its divisors is an integer number (19818344).

Almost surely, 2^513232668 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 513232668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713460384).

513232668 is an abundant number, since it is smaller than the sum of its proper divisors (913688100).

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

513232668 is a wasteful number, since it uses less digits than its factorization.

513232668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23403 (or 23398 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 513232668 is about 22654.6389951374. The cubic root of 513232668 is about 800.6415000430.

The spelling of 513232668 in words is "five hundred thirteen million, two hundred thirty-two thousand, six hundred sixty-eight".