53135640 has 96 divisors (see below), whose sum is σ = 174489120. Its totient is φ = 14022144.

The previous prime is 53135639. The next prime is 53135701. The reversal of 53135640 is 4653135.

53135640 is a `hidden beast` number, since 5 + 3 + 13 + 5 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36364 + ... + 37796.

It is an arithmetic number, because the mean of its divisors is an integer number (1817595).

Almost surely, 2^53135640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87244560).

53135640 is an abundant number, since it is smaller than the sum of its proper divisors (121353480).

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

53135640 is a wasteful number, since it uses less digits than its factorization.

53135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 53135640 is about 7289.4197299922. The cubic root of 53135640 is about 375.9487443336.

Adding to 53135640 its reverse (4653135), we get a palindrome (57788775).

The spelling of 53135640 in words is "fifty-three million, one hundred thirty-five thousand, six hundred forty".