53200956 has 48 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 16608000.

The previous prime is 53200913. The next prime is 53200957. The reversal of 53200956 is 65900235.

53200956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53200957) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 50685 + ... + 51723.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2^53200956 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 53200956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

53200956 is an abundant number, since it is smaller than the sum of its proper divisors (78887364).

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

53200956 is a wasteful number, since it uses less digits than its factorization.

53200956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 53200956 is about 7293.8985460452. The cubic root of 53200956 is about 376.1027239325.

The spelling of 53200956 in words is "fifty-three million, two hundred thousand, nine hundred fifty-six".