53985128409 has 27 divisors (see below), whose sum is σ = 79969156189. Its totient is φ = 35093690880.

The previous prime is 53985128399. The next prime is 53985128459. The reversal of 53985128409 is 90482158935.

The square root of 53985128409 is 232347.

It is a perfect power (a square), and thus also a powerful number.

53985128409 is a `hidden beast` number, since 5 + 39 + 85 + 128 + 409 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16333606809 + 37651521600 = 127803^2 + 194040^2 .

It is not a de Polignac number, because 53985128409 - 2²³ = 53976739801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53985128459) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28577737 + ... + 28579625.

Almost surely, 2^53985128409 is an apocalyptic number.

53985128409 is the 232347-th square number.

53985128409 is the 116174-th centered octagonal number.

It is an amenable number.

53985128409 is a deficient number, since it is larger than the sum of its proper divisors (25984027780).

53985128409 is an frugal number, since it uses more digits than its factorization.

53985128409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 53985128409 in words is "fifty-three billion, nine hundred eighty-five million, one hundred twenty-eight thousand, four hundred nine".