513630006 has 32 divisors (see below), whose sum is σ = 1050720768. Its totient is φ = 167311200.

The previous prime is 513629989. The next prime is 513630011. The reversal of 513630006 is 600036315.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295516 + ... + 297248.

It is an arithmetic number, because the mean of its divisors is an integer number (32835024).

Almost surely, 2^513630006 is an apocalyptic number.

513630006 is an abundant number, since it is smaller than the sum of its proper divisors (537090762).

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

513630006 is a wasteful number, since it uses less digits than its factorization.

513630006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 513630006 is about 22663.4067606792. The cubic root of 513630006 is about 800.8480621289.

The spelling of 513630006 in words is "five hundred thirteen million, six hundred thirty thousand, six".