52761312 has 72 divisors (see below), whose sum is σ = 151076016. Its totient is φ = 17465856.

The previous prime is 52761311. The next prime is 52761323. The reversal of 52761312 is 21316725.

It is a happy number.

52761312 is a `hidden beast` number, since 527 + 6 + 131 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×52761312² = 5567512087922688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52761311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47548 + ... + 48644.

It is an arithmetic number, because the mean of its divisors is an integer number (2098278).

Almost surely, 2^52761312 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 52761312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75538008).

52761312 is an abundant number, since it is smaller than the sum of its proper divisors (98314704).

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

52761312 is a wasteful number, since it uses less digits than its factorization.

52761312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 52761312 is about 7263.6982316173. The cubic root of 52761312 is about 375.0638397980.

The spelling of 52761312 in words is "fifty-two million, seven hundred sixty-one thousand, three hundred twelve".