51306144 has 24 divisors (see below), whose sum is σ = 134678880. Its totient is φ = 17102016.

The previous prime is 51306139. The next prime is 51306149. The reversal of 51306144 is 44160315.

51306144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51306139) and next prime (51306149).

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (51306149) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 267124 + ... + 267315.

It is an arithmetic number, because the mean of its divisors is an integer number (5611620).

Almost surely, 2^51306144 is an apocalyptic number.

It is an amenable number.

51306144 is an abundant number, since it is smaller than the sum of its proper divisors (83372736).

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

51306144 is a wasteful number, since it uses less digits than its factorization.

51306144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534452 (or 534444 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51306144 is about 7162.8307253487. The cubic root of 51306144 is about 371.5835320726.

Adding to 51306144 its reverse (44160315), we get a palindrome (95466459).

The spelling of 51306144 in words is "fifty-one million, three hundred six thousand, one hundred forty-four".