51518100 has 72 divisors (see below), whose sum is σ = 150927840. Its totient is φ = 13566080.

The previous prime is 51518081. The next prime is 51518107. The reversal of 51518100 is 181515.

It is a super-2 number, since 2×51518100² = 5308229255220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51518107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23866 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (2096220).

Almost surely, 2^51518100 is an apocalyptic number.

51518100 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 51518100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75463920).

51518100 is an abundant number, since it is smaller than the sum of its proper divisors (99409740).

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

51518100 is a wasteful number, since it uses less digits than its factorization.

51518100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 21.

The square root of 51518100 is about 7177.6110231748. The cubic root of 51518100 is about 372.0945244822.

Adding to 51518100 its reverse (181515), we get a palindrome (51699615).

The spelling of 51518100 in words is "fifty-one million, five hundred eighteen thousand, one hundred".