53511264 has 144 divisors (see below), whose sum is σ = 162162000. Its totient is φ = 16708608.

The previous prime is 53511259. The next prime is 53511331. The reversal of 53511264 is 46211535.

53511264 is a `hidden beast` number, since 535 + 1 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359062 + ... + 359210.

It is an arithmetic number, because the mean of its divisors is an integer number (1126125).

Almost surely, 2^53511264 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 53511264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81081000).

53511264 is an abundant number, since it is smaller than the sum of its proper divisors (108650736).

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

53511264 is a wasteful number, since it uses less digits than its factorization.

53511264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 226 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 53511264 is about 7315.1393698275. The cubic root of 53511264 is about 376.8325448244.

Adding to 53511264 its reverse (46211535), we get a palindrome (99722799).

The spelling of 53511264 in words is "fifty-three million, five hundred eleven thousand, two hundred sixty-four".