52277120 has 96 divisors (see below), whose sum is σ = 145466280. Its totient is φ = 17912832.

The previous prime is 52277117. The next prime is 52277123. The reversal of 52277120 is 2177225.

52277120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52277117) and next prime (52277123).

It is a self number, because there is not a number n which added to its sum of digits gives 52277120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52277123) 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 11 ways as a sum of consecutive naturals, for example, 30527 + ... + 32193.

Almost surely, 2^52277120 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 52277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72733140).

52277120 is an abundant number, since it is smaller than the sum of its proper divisors (93189160).

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

52277120 is a wasteful number, since it uses less digits than its factorization.

52277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 52277120 is about 7230.2918336676. The cubic root of 52277120 is about 373.9129884230.

The spelling of 52277120 in words is "fifty-two million, two hundred seventy-seven thousand, one hundred twenty".