53130400 has 36 divisors (see below), whose sum is σ = 129706542. Its totient is φ = 21251840.

The previous prime is 53130379. The next prime is 53130401. The reversal of 53130400 is 403135.

It can be written as a sum of positive squares in 3 ways, for example, as 34433424 + 18696976 = 5868^2 + 4324^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53130401) 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 5 ways as a sum of consecutive naturals, for example, 32407 + ... + 34006.

Almost surely, 2^53130400 is an apocalyptic number.

53130400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53130400 is an abundant number, since it is smaller than the sum of its proper divisors (76576142).

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

53130400 is a wasteful number, since it uses less digits than its factorization.

53130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66433 (or 66420 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 53130400 is about 7289.0602960876. The cubic root of 53130400 is about 375.9363857975.

Adding to 53130400 its reverse (403135), we get a palindrome (53533535).

The spelling of 53130400 in words is "fifty-three million, one hundred thirty thousand, four hundred".