513063966 has 32 divisors (see below), whose sum is σ = 1034768160. Its totient is φ = 169588224.

The previous prime is 513063959. The next prime is 513063977. The reversal of 513063966 is 669360315.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429466 + ... + 430658.

It is an arithmetic number, because the mean of its divisors is an integer number (32336505).

Almost surely, 2^513063966 is an apocalyptic number.

513063966 is an abundant number, since it is smaller than the sum of its proper divisors (521704194).

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

513063966 is a wasteful number, since it uses less digits than its factorization.

513063966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 513063966 is about 22650.9153457427. The cubic root of 513063966 is about 800.5537655495.

It can be divided in two parts, 5130 and 63966, that added together give a palindrome (69096).

The spelling of 513063966 in words is "five hundred thirteen million, sixty-three thousand, nine hundred sixty-six".