53205152 has 144 divisors (see below), whose sum is σ = 142644096. Its totient is φ = 19008000.

The previous prime is 53205143. The next prime is 53205161. The reversal of 53205152 is 25150235.

It is an interprime number because it is at equal distance from previous prime (53205143) and next prime (53205161).

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, 352277 + ... + 352427.

It is an arithmetic number, because the mean of its divisors is an integer number (990584).

Almost surely, 2^53205152 is an apocalyptic number.

53205152 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 53205152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71322048).

53205152 is an abundant number, since it is smaller than the sum of its proper divisors (89438944).

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

53205152 is a wasteful number, since it uses less digits than its factorization.

53205152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 53205152 is about 7294.1861780462. The cubic root of 53205152 is about 376.1126115088.

Adding to 53205152 its reverse (25150235), we get a palindrome (78355387).

The spelling of 53205152 in words is "fifty-three million, two hundred five thousand, one hundred fifty-two".