51016 has 16 divisors (see below), whose sum is σ = 109440. Its totient is φ = 21840.

The previous prime is 51001. The next prime is 51031. The reversal of 51016 is 61015.

It is an interprime number because it is at equal distance from previous prime (51001) and next prime (51031).

It is a junction number, because it is equal to n+sod(n) for n = 50987 and 51005.

It is an unprimeable number.

51016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 400 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (6840).

2⁵¹⁰¹⁶ is an apocalyptic number.

51016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

51016 is an abundant number, since it is smaller than the sum of its proper divisors (58424).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54720).

51016 is a wasteful number, since it uses less digits than its factorization.

51016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 51016 is about 225.8672176302. The cubic root of 51016 is about 37.0881753837.

Subtracting 51016 from its reverse (61015), we obtain a palindrome (9999).

The spelling of 51016 in words is "fifty-one thousand, sixteen".