51918000 has 160 divisors (see below), whose sum is σ = 177577920. Its totient is φ = 13004800.

The previous prime is 51917977. The next prime is 51918001. The reversal of 51918000 is 81915.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51918001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101746 + ... + 102254.

It is an arithmetic number, because the mean of its divisors is an integer number (1109862).

Almost surely, 2^51918000 is an apocalyptic number.

51918000 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 51918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

51918000 is an abundant number, since it is smaller than the sum of its proper divisors (125659920).

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

51918000 is a wasteful number, since it uses less digits than its factorization.

51918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 51918000 is about 7205.4146306788. The cubic root of 51918000 is about 373.0548163633.

Adding to 51918000 its reverse (81915), we get a palindrome (51999915).

The spelling of 51918000 in words is "fifty-one million, nine hundred eighteen thousand".