513915066 has 96 divisors (see below), whose sum is σ = 1364912640. Its totient is φ = 136401408.

The previous prime is 513915047. The next prime is 513915067. The reversal of 513915066 is 660519315.

513915066 is a `hidden beast` number, since 513 + 91 + 50 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 513915066.

It is not an unprimeable number, because it can be changed into a prime (513915067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167700 + ... + 170736.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2^513915066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513915066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

513915066 is an abundant number, since it is smaller than the sum of its proper divisors (850997574).

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

513915066 is a wasteful number, since it uses less digits than its factorization.

513915066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 513915066 is about 22669.6948810521. The cubic root of 513915066 is about 800.9961892023.

The spelling of 513915066 in words is "five hundred thirteen million, nine hundred fifteen thousand, sixty-six".