53213472 has 144 divisors (see below), whose sum is σ = 166348728. Its totient is φ = 16035840.

The previous prime is 53213429. The next prime is 53213497. The reversal of 53213472 is 27431235.

53213472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 39992976 = 3636^2 + 6324^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228268 + ... + 228500.

Almost surely, 2^53213472 is an apocalyptic number.

53213472 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 53213472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83174364).

53213472 is an abundant number, since it is smaller than the sum of its proper divisors (113135256).

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

53213472 is a wasteful number, since it uses less digits than its factorization.

53213472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 53213472 is about 7294.7564729743. The cubic root of 53213472 is about 376.1322154614.

The spelling of 53213472 in words is "fifty-three million, two hundred thirteen thousand, four hundred seventy-two".