53009216 has 70 divisors (see below), whose sum is σ = 117885210. Its totient is φ = 23622144.

The previous prime is 53009171. The next prime is 53009219. The reversal of 53009216 is 61290035.

It can be written as a sum of positive squares in 5 ways, for example, as 44622400 + 8386816 = 6680^2 + 2896^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53009219) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1827890 + ... + 1827918.

Almost surely, 2^53009216 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 53009216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58942605).

53009216 is an abundant number, since it is smaller than the sum of its proper divisors (64875994).

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

53009216 is an frugal number, since it uses more digits than its factorization.

53009216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 53009216 is about 7280.7428192458. The cubic root of 53009216 is about 375.6503464430.

The spelling of 53009216 in words is "fifty-three million, nine thousand, two hundred sixteen".