51219168 has 288 divisors, whose sum is σ = 185939712. Its totient is φ = 11980800.

The previous prime is 51219167. The next prime is 51219169. The reversal of 51219168 is 86191215.

It is an interprime number because it is at equal distance from previous prime (51219167) and next prime (51219169).

It is a super-2 number, since 2×51219168² = 5246806341224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51219163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249228 + ... + 1249268.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 2^51219168 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 51219168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92969856).

51219168 is an abundant number, since it is smaller than the sum of its proper divisors (134720544).

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

51219168 is a wasteful number, since it uses less digits than its factorization.

51219168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 77 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 51219168 is about 7156.7568073814. The cubic root of 51219168 is about 371.3734394361.

The spelling of 51219168 in words is "fifty-one million, two hundred nineteen thousand, one hundred sixty-eight".