51225216 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 12828672.

The previous prime is 51225179. The next prime is 51225227. The reversal of 51225216 is 61252215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 868195 + ... + 868253.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^51225216 is an apocalyptic number.

51225216 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 51225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

51225216 is an abundant number, since it is smaller than the sum of its proper divisors (125030784).

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

51225216 is a wasteful number, since it uses less digits than its factorization.

51225216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 51225216 is about 7157.1793326701. The cubic root of 51225216 is about 371.3880562176.

It can be divided in two parts, 5 and 1225216, that added together give a palindrome (1225221).

The spelling of 51225216 in words is "fifty-one million, two hundred twenty-five thousand, two hundred sixteen".