52145280 has 192 divisors, whose sum is σ = 196672320. Its totient is φ = 12625920.

The previous prime is 52145279. The next prime is 52145281. The reversal of 52145280 is 8254125.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52145279) and next prime (52145281).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (52145281) 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 23 ways as a sum of consecutive naturals, for example, 62949 + ... + 63771.

It is an arithmetic number, because the mean of its divisors is an integer number (1024335).

Almost surely, 2^52145280 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 52145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98336160).

52145280 is an abundant number, since it is smaller than the sum of its proper divisors (144527040).

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

52145280 is a wasteful number, since it uses less digits than its factorization.

52145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 52145280 is about 7221.1688804514. The cubic root of 52145280 is about 373.5983945323.

It can be divided in two parts, 52145 and 280, that added together give a palindrome (52425).

The spelling of 52145280 in words is "fifty-two million, one hundred forty-five thousand, two hundred eighty".