53365312 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 18063360.

The previous prime is 53365289. The next prime is 53365321. The reversal of 53365312 is 21356335.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (8100) is a multiple of the sum of its prime divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3139128 + ... + 3139144.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^53365312 is an apocalyptic number.

53365312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53365312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

53365312 is an abundant number, since it is smaller than the sum of its proper divisors (100253888).

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

53365312 is a wasteful number, since it uses less digits than its factorization.

53365312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 50 counting only the distinct ones).

The product of its digits is 8100, while the sum is 28.

The square root of 53365312 is about 7305.1565349416. The cubic root of 53365312 is about 376.4896292146.

It can be divided in two parts, 5336 and 5312, that added together give a cube (10648 = 22³).

The spelling of 53365312 in words is "fifty-three million, three hundred sixty-five thousand, three hundred twelve".