52261524 has 72 divisors (see below), whose sum is σ = 156589888. Its totient is φ = 14929920.

The previous prime is 52261523. The next prime is 52261577. The reversal of 52261524 is 42516225.

52261524 is a `hidden beast` number, since 5 + 22 + 615 + 24 = 666.

52261524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (52261523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2964 + ... + 10644.

Almost surely, 2^52261524 is an apocalyptic number.

52261524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52261524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78294944).

52261524 is an abundant number, since it is smaller than the sum of its proper divisors (104328364).

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

52261524 is a wasteful number, since it uses less digits than its factorization.

52261524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7707 (or 7693 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 52261524 is about 7229.2132352006. The cubic root of 52261524 is about 373.8758011731.

Adding to 52261524 its reverse (42516225), we get a palindrome (94777749).

The spelling of 52261524 in words is "fifty-two million, two hundred sixty-one thousand, five hundred twenty-four".