52959312 has 160 divisors (see below), whose sum is σ = 176655360. Its totient is φ = 14878080.

The previous prime is 52959299. The next prime is 52959337. The reversal of 52959312 is 21395925.

It is a happy number.

52959312 is a `hidden beast` number, since 52 + 9 + 593 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250887 + ... + 251097.

It is an arithmetic number, because the mean of its divisors is an integer number (1104096).

Almost surely, 2^52959312 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 52959312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88327680).

52959312 is an abundant number, since it is smaller than the sum of its proper divisors (123696048).

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

52959312 is a wasteful number, since it uses less digits than its factorization.

52959312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 52959312 is about 7277.3148894355. The cubic root of 52959312 is about 375.5324276976.

The spelling of 52959312 in words is "fifty-two million, nine hundred fifty-nine thousand, three hundred twelve".