53144100 has 117 divisors (see below), whose sum is σ = 172983937. Its totient is φ = 14171760.

The previous prime is 53144059. The next prime is 53144111. The reversal of 53144100 is 144135.

It is a happy number.

The square root of 53144100 is 7290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19131876 + 34012224 = 4374^2 + 5832^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 10628818 + ... + 10628822.

Almost surely, 2^53144100 is an apocalyptic number.

53144100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53144100 is the 7290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53144100

53144100 is an abundant number, since it is smaller than the sum of its proper divisors (119839837).

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

53144100 is an frugal number, since it uses more digits than its factorization.

53144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 53144100 is about 375.9686955226.

Adding to 53144100 its reverse (144135), we get a palindrome (53288235).

The spelling of 53144100 in words is "fifty-three million, one hundred forty-four thousand, one hundred".