53514100 has 72 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 20042880.

The previous prime is 53514067. The next prime is 53514101. The reversal of 53514100 is 141535.

53514100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53514101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121681 + ... + 122119.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^53514100 is an apocalyptic number.

53514100 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 53514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

53514100 is an abundant number, since it is smaller than the sum of its proper divisors (70227980).

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

53514100 is a wasteful number, since it uses less digits than its factorization.

53514100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 53514100 is about 7315.3332118230. Note that the first 3 decimals coincide. The cubic root of 53514100 is about 376.8392018541.

Adding to 53514100 its reverse (141535), we get a palindrome (53655635).

The spelling of 53514100 in words is "fifty-three million, five hundred fourteen thousand, one hundred".