51382016 has 72 divisors (see below), whose sum is σ = 119647584. Its totient is φ = 21565440.

The previous prime is 51382013. The next prime is 51382021. The reversal of 51382016 is 61028315.

It is a super-2 number, since 2×51382016² = 5280223136448512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94706 + ... + 95246.

It is an arithmetic number, because the mean of its divisors is an integer number (1661772).

Almost surely, 2^51382016 is an apocalyptic number.

51382016 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 51382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59823792).

51382016 is an abundant number, since it is smaller than the sum of its proper divisors (68265568).

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

51382016 is an equidigital number, since it uses as much as digits as its factorization.

51382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 51382016 is about 7168.1249989101. The cubic root of 51382016 is about 371.7666089110.

The spelling of 51382016 in words is "fifty-one million, three hundred eighty-two thousand, sixteen".