53564409 has 30 divisors (see below), whose sum is σ = 82618074. Its totient is φ = 34564320.

The previous prime is 53564393. The next prime is 53564411. The reversal of 53564409 is 90446535.

It is a happy number.

53564409 is a `hidden beast` number, since 5 + 3 + 5 + 644 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32661225 + 20903184 = 5715^2 + 4572^2 .

It is not a de Polignac number, because 53564409 - 2⁴ = 53564393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53564809) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 421704 + ... + 421830.

Almost surely, 2^53564409 is an apocalyptic number.

It is an amenable number.

53564409 is a deficient number, since it is larger than the sum of its proper divisors (29053665).

53564409 is an equidigital number, since it uses as much as digits as its factorization.

53564409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53564409 is about 7318.7710033857. The cubic root of 53564409 is about 376.9572546385.

The spelling of 53564409 in words is "fifty-three million, five hundred sixty-four thousand, four hundred nine".