66006513 has 24 divisors (see below), whose sum is σ = 101119200. Its totient is φ = 41373504.

The previous prime is 66006503. The next prime is 66006517. The reversal of 66006513 is 31560066.

66006513 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 651 + 3 = 666.

It is not a de Polignac number, because 66006513 - 2⁶ = 66006449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66006517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22381 + ... + 25157.

It is an arithmetic number, because the mean of its divisors is an integer number (4213300).

Almost surely, 2^66006513 is an apocalyptic number.

It is an amenable number.

66006513 is a deficient number, since it is larger than the sum of its proper divisors (35112687).

66006513 is a wasteful number, since it uses less digits than its factorization.

66006513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 66006513 is about 8124.4392421877. The cubic root of 66006513 is about 404.1372948554.

Adding to 66006513 its reverse (31560066), we get a palindrome (97566579).

The spelling of 66006513 in words is "sixty-six million, six thousand, five hundred thirteen".