653312106 has 24 divisors (see below), whose sum is σ = 1417842660. Its totient is φ = 217411776.

The previous prime is 653312089. The next prime is 653312117. The reversal of 653312106 is 601213356.

653312106 is a `hidden beast` number, since 6 + 533 + 121 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585398025 + 67914081 = 24195^2 + 8241^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 653312106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18571 + ... + 40638.

Almost surely, 2^653312106 is an apocalyptic number.

653312106 is an abundant number, since it is smaller than the sum of its proper divisors (764530554).

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

653312106 is a wasteful number, since it uses less digits than its factorization.

653312106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59830 (or 59827 counting only the distinct ones).

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

The square root of 653312106 is about 25559.9707746312. The cubic root of 653312106 is about 867.7079342209.

The spelling of 653312106 in words is "six hundred fifty-three million, three hundred twelve thousand, one hundred six".