52461568 has 32 divisors (see below), whose sum is σ = 104987070. Its totient is φ = 26214400.

The previous prime is 52461557. The next prime is 52461569. The reversal of 52461568 is 86516425.

It can be written as a sum of positive squares in only one way, i.e., 27541504 + 24920064 = 5248^2 + 4992^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×52461568² = 5504432234037248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52461569) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31968 + ... + 33568.

Almost surely, 2^52461568 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 52461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493535).

52461568 is an abundant number, since it is smaller than the sum of its proper divisors (52525502).

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

52461568 is an frugal number, since it uses more digits than its factorization.

52461568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1603 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 52461568 is about 7243.0358276071. The cubic root of 52461568 is about 374.3522280587.

The spelling of 52461568 in words is "fifty-two million, four hundred sixty-one thousand, five hundred sixty-eight".