52500960 has 120 divisors (see below), whose sum is σ = 185330376. Its totient is φ = 13996800.

The previous prime is 52500953. The next prime is 52500961. The reversal of 52500960 is 6900525.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52500961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10935 + ... + 14985.

Almost surely, 2^52500960 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 52500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92665188).

52500960 is an abundant number, since it is smaller than the sum of its proper divisors (132829416).

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

52500960 is a wasteful number, since it uses less digits than its factorization.

52500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52500960 is about 7245.7546190856. The cubic root of 52500960 is about 374.4459016700.

The spelling of 52500960 in words is "fifty-two million, five hundred thousand, nine hundred sixty".