53118900 has 54 divisors (see below), whose sum is σ = 166501062. Its totient is φ = 14164800.

The previous prime is 53118887. The next prime is 53118907. The reversal of 53118900 is 981135.

53118900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1192464 + 51926436 = 1092^2 + 7206^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53118907) 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 17 ways as a sum of consecutive naturals, for example, 28611 + ... + 30410.

It is an arithmetic number, because the mean of its divisors is an integer number (3083353).

Almost surely, 2^53118900 is an apocalyptic number.

53118900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53118900 is an abundant number, since it is smaller than the sum of its proper divisors (113382162).

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

53118900 is a wasteful number, since it uses less digits than its factorization.

53118900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59041 (or 59031 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 53118900 is about 7288.2713999960. The cubic root of 53118900 is about 375.9092602071.

The spelling of 53118900 in words is "fifty-three million, one hundred eighteen thousand, nine hundred".