51006144 has 56 divisors (see below), whose sum is σ = 154236928. Its totient is φ = 14572800.

The previous prime is 51006143. The next prime is 51006181. The reversal of 51006144 is 44160015.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 51006144.

It is not an unprimeable number, because it can be changed into a prime (51006143) 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, 17632 + ... + 20319.

Almost surely, 2^51006144 is an apocalyptic number.

It is an amenable number.

51006144 is an abundant number, since it is smaller than the sum of its proper divisors (103230784).

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

51006144 is a wasteful number, since it uses less digits than its factorization.

51006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37973 (or 37963 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 51006144 is about 7141.8585816299. The cubic root of 51006144 is about 370.8578682192.

Adding to 51006144 its reverse (44160015), we get a palindrome (95166159).

The spelling of 51006144 in words is "fifty-one million, six thousand, one hundred forty-four".