52581312 has 294 divisors, whose sum is σ = 189893448. Its totient is φ = 14370048.

The previous prime is 52581299. The next prime is 52581313. The reversal of 52581312 is 21318525.

It is a happy number.

52581312 is a `hidden beast` number, since 52 + 581 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (294).

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 (52581313) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2286133 + ... + 2286155.

Almost surely, 2^52581312 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 52581312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94946724).

52581312 is an abundant number, since it is smaller than the sum of its proper divisors (137312136).

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

52581312 is an equidigital number, since it uses as much as digits as its factorization.

52581312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 52581312 is about 7251.2972632488. The cubic root of 52581312 is about 374.6368324050.

Adding to 52581312 its reverse (21318525), we get a palindrome (73899837).

It can be divided in two parts, 525813 and 12, that added together give a triangular number (525825 = T₁₀₂₅).

The spelling of 52581312 in words is "fifty-two million, five hundred eighty-one thousand, three hundred twelve".