51116000 has 96 divisors (see below), whose sum is σ = 135390528. Its totient is φ = 18854400.

The previous prime is 51115979. The next prime is 51116011. The reversal of 51116000 is 61115.

It is a super-2 number, since 2×51116000² = 5225690912000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51509 + ... + 52491.

It is an arithmetic number, because the mean of its divisors is an integer number (1410318).

Almost surely, 2^51116000 is an apocalyptic number.

51116000 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 51116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67695264).

51116000 is an abundant number, since it is smaller than the sum of its proper divisors (84274528).

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

51116000 is a wasteful number, since it uses less digits than its factorization.

51116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 51116000 is about 7149.5454400962. The cubic root of 51116000 is about 371.1239260226.

Adding to 51116000 its reverse (61115), we get a palindrome (51177115).

It can be divided in two parts, 5111 and 6000, that added together give a palindrome (11111).

The spelling of 51116000 in words is "fifty-one million, one hundred sixteen thousand".