66513105 has 12 divisors (see below), whose sum is σ = 115289460. Its totient is φ = 35473632.

The previous prime is 66513101. The next prime is 66513107. The reversal of 66513105 is 50131566.

It is a happy number.

66513105 is a `hidden beast` number, since 6 + 651 + 3 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 45279441 = 4608^2 + 6729^2 .

It is not a de Polignac number, because 66513105 - 2² = 66513101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66513101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 738990 + ... + 739079.

It is an arithmetic number, because the mean of its divisors is an integer number (9607455).

Almost surely, 2^66513105 is an apocalyptic number.

It is an amenable number.

66513105 is a deficient number, since it is larger than the sum of its proper divisors (48776355).

66513105 is a wasteful number, since it uses less digits than its factorization.

66513105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478080 (or 1478077 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 66513105 is about 8155.5566946714. The cubic root of 66513105 is about 405.1685626642.

The spelling of 66513105 in words is "sixty-six million, five hundred thirteen thousand, one hundred five".