52130400 has 288 divisors, whose sum is σ = 202487040. Its totient is φ = 11397120.

The previous prime is 52130399. The next prime is 52130411. The reversal of 52130400 is 403125.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 52130400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487147 + ... + 487253.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^52130400 is an apocalyptic number.

52130400 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 52130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

52130400 is an abundant number, since it is smaller than the sum of its proper divisors (150356640).

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

52130400 is a wasteful number, since it uses less digits than its factorization.

52130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 52130400 is about 7220.1385028267. The cubic root of 52130400 is about 373.5628548953.

Adding to 52130400 its reverse (403125), we get a palindrome (52533525).

The spelling of 52130400 in words is "fifty-two million, one hundred thirty thousand, four hundred".