53118000 has 240 divisors, whose sum is σ = 200674656. Its totient is φ = 13017600.

The previous prime is 53117993. The next prime is 53118019. The reversal of 53118000 is 81135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 233887 + ... + 234113.

Almost surely, 2^53118000 is an apocalyptic number.

53118000 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 53118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

53118000 is an abundant number, since it is smaller than the sum of its proper divisors (147556656).

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

53118000 is a wasteful number, since it uses less digits than its factorization.

53118000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 53118000 is about 7288.2096566990. The cubic root of 53118000 is about 375.9071371696.

Adding to 53118000 its reverse (81135), we get a palindrome (53199135).

The spelling of 53118000 in words is "fifty-three million, one hundred eighteen thousand".