51019416 has 128 divisors (see below), whose sum is σ = 166118400. Its totient is φ = 14204160.

The previous prime is 51019399. The next prime is 51019429. The reversal of 51019416 is 61491015.

51019416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 51019416.

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 31 ways as a sum of consecutive naturals, for example, 61581 + ... + 62403.

It is an arithmetic number, because the mean of its divisors is an integer number (1297800).

Almost surely, 2^51019416 is an apocalyptic number.

51019416 is a gapful number since it is divisible by the number (56) 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 51019416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83059200).

51019416 is an abundant number, since it is smaller than the sum of its proper divisors (115098984).

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

51019416 is a wasteful number, since it uses less digits than its factorization.

51019416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 51019416 is about 7142.7876910909. The cubic root of 51019416 is about 370.8900316567.

The spelling of 51019416 in words is "fifty-one million, nineteen thousand, four hundred sixteen".