51110000 has 100 divisors (see below), whose sum is σ = 130739400. Its totient is φ = 19296000.

The previous prime is 51109997. The next prime is 51110011. The reversal of 51110000 is 1115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×51110000² = 5224464200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 51110000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189866 + ... + 190134.

It is an arithmetic number, because the mean of its divisors is an integer number (1307394).

Almost surely, 2^51110000 is an apocalyptic number.

51110000 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 51110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65369700).

51110000 is an abundant number, since it is smaller than the sum of its proper divisors (79629400).

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

51110000 is a wasteful number, since it uses less digits than its factorization.

51110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 51110000 is about 7149.1258206861. The cubic root of 51110000 is about 371.1094046028.

Adding to 51110000 its reverse (1115), we get a palindrome (51111115).

The spelling of 51110000 in words is "fifty-one million, one hundred ten thousand".