653142609 has 90 divisors (see below), whose sum is σ = 1175041890. Its totient is φ = 360448704.

The previous prime is 653142593. The next prime is 653142629. The reversal of 653142609 is 906241356.

It is a happy number.

653142609 is a `hidden beast` number, since 6 + 5 + 3 + 1 + 42 + 609 = 666.

653142609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 469675584 + 183467025 = 21672^2 + 13545^2 .

It is not a de Polignac number, because 653142609 - 2⁴ = 653142593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (653142629) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 7338637 + ... + 7338725.

It is an arithmetic number, because the mean of its divisors is an integer number (13056021).

Almost surely, 2^653142609 is an apocalyptic number.

It is an amenable number.

653142609 is a deficient number, since it is larger than the sum of its proper divisors (521899281).

653142609 is an equidigital number, since it uses as much as digits as its factorization.

653142609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 653142609 is about 25556.6548867413. The cubic root of 653142609 is about 867.6328875925.

The spelling of 653142609 in words is "six hundred fifty-three million, one hundred forty-two thousand, six hundred nine".