51267216 has 240 divisors, whose sum is σ = 181016192. Its totient is φ = 12165120.

The previous prime is 51267199. The next prime is 51267217. The reversal of 51267216 is 61276215.

It is not an unprimeable number, because it can be changed into a prime (51267217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528480 + ... + 528576.

Almost surely, 2^51267216 is an apocalyptic number.

51267216 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 51267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90508096).

51267216 is an abundant number, since it is smaller than the sum of its proper divisors (129748976).

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

51267216 is a wasteful number, since it uses less digits than its factorization.

51267216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 51267216 is about 7160.1128482727. The cubic root of 51267216 is about 371.4895299217.

The spelling of 51267216 in words is "fifty-one million, two hundred sixty-seven thousand, two hundred sixteen".