51852960 has 120 divisors (see below), whose sum is σ = 183043476. Its totient is φ = 13824000.

The previous prime is 51852953. The next prime is 51852967. The reversal of 51852960 is 6925815.

It is a happy number.

51852960 is a `hidden beast` number, since 518 + 52 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51852953) and next prime (51852967).

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 6533136 = 6732^2 + 2556^2 .

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 (36).

It is not an unprimeable number, because it can be changed into a prime (51852967) 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, 10960 + ... + 14960.

Almost surely, 2^51852960 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 51852960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91521738).

51852960 is an abundant number, since it is smaller than the sum of its proper divisors (131190516).

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

51852960 is a wasteful number, since it uses less digits than its factorization.

51852960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4011 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 51852960 is about 7200.8999437570. The cubic root of 51852960 is about 372.8989704505.

The spelling of 51852960 in words is "fifty-one million, eight hundred fifty-two thousand, nine hundred sixty".