52529904 has 160 divisors (see below), whose sum is σ = 178560000. Its totient is φ = 14466816.

The previous prime is 52529891. The next prime is 52529909. The reversal of 52529904 is 40992525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52529909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87397 + ... + 87995.

It is an arithmetic number, because the mean of its divisors is an integer number (1116000).

Almost surely, 2^52529904 is an apocalyptic number.

52529904 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 52529904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280000).

52529904 is an abundant number, since it is smaller than the sum of its proper divisors (126030096).

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

52529904 is a wasteful number, since it uses less digits than its factorization.

52529904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 52529904 is about 7247.7516513744. The cubic root of 52529904 is about 374.5147002286.

The spelling of 52529904 in words is "fifty-two million, five hundred twenty-nine thousand, nine hundred four".