52314624 has 60 divisors (see below), whose sum is σ = 150996846. Its totient is φ = 17436672.

The previous prime is 52314589. The next prime is 52314629. The reversal of 52314624 is 42641325.

52314624 is a `hidden beast` number, since 5 + 2 + 31 + 4 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48441600 + 3873024 = 6960^2 + 1968^2 .

It is a super-2 number, since 2×52314624² = 5473639768522752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52314629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1069 + ... + 10284.

Almost surely, 2^52314624 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 52314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75498423).

52314624 is an abundant number, since it is smaller than the sum of its proper divisors (98682222).

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

52314624 is a wasteful number, since it uses less digits than its factorization.

52314624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11358 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 52314624 is about 7232.8849016143. The cubic root of 52314624 is about 374.0023830479.

Adding to 52314624 its reverse (42641325), we get a palindrome (94955949).

The spelling of 52314624 in words is "fifty-two million, three hundred fourteen thousand, six hundred twenty-four".