51983316 has 288 divisors, whose sum is σ = 183859200. Its totient is φ = 12519360.

The previous prime is 51983303. The next prime is 51983329. The reversal of 51983316 is 61338915.

It is a happy number.

51983316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51983303) and next prime (51983329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106005 + ... + 1106051.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 2^51983316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51983316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91929600).

51983316 is an abundant number, since it is smaller than the sum of its proper divisors (131875884).

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

51983316 is a wasteful number, since it uses less digits than its factorization.

51983316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 51983316 is about 7209.9456308630. The cubic root of 51983316 is about 373.2111926834.

The spelling of 51983316 in words is "fifty-one million, nine hundred eighty-three thousand, three hundred sixteen".