53086208 has 108 divisors (see below), whose sum is σ = 129078495. Its totient is φ = 21762048.

The previous prime is 53086207. The next prime is 53086213. The reversal of 53086208 is 80268035.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 26543104 + 26543104 = 5152^2 + 5152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5152.

It is a super-3 number, since 3×53086208³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53086207) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2308085 + ... + 2308107.

Almost surely, 2^53086208 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 53086208

53086208 is an abundant number, since it is smaller than the sum of its proper divisors (75992287).

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

53086208 is an equidigital number, since it uses as much as digits as its factorization.

53086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 53086208 is about 7286.0282733462. The cubic root of 53086208 is about 375.8321266600.

Multiplying 53086208 by its sum of digits (32), we get a square (1698758656 = 41216²).

53086208 divided by its sum of digits (32) gives a square (1658944 = 1288²).

The spelling of 53086208 in words is "fifty-three million, eighty-six thousand, two hundred eight".