52520400 has 150 divisors (see below), whose sum is σ = 188607782. Its totient is φ = 13996800.

The previous prime is 52520387. The next prime is 52520401. The reversal of 52520400 is 402525.

52520400 = 176³ + 177³ + ... + 184³.

It can be written as a sum of positive squares in 3 ways, for example, as 7683984 + 44836416 = 2772^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52520401) 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 29 ways as a sum of consecutive naturals, for example, 31590 + ... + 33210.

Almost surely, 2^52520400 is an apocalyptic number.

52520400 is a gapful number since it is divisible by the number (50) 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 52520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94303891).

52520400 is an abundant number, since it is smaller than the sum of its proper divisors (136087382).

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

52520400 is a wasteful number, since it uses less digits than its factorization.

52520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 52520400 is about 7247.0959701111. The cubic root of 52520400 is about 374.4921124445.

Adding to 52520400 its reverse (402525), we get a palindrome (52922925).

The spelling of 52520400 in words is "fifty-two million, five hundred twenty thousand, four hundred".