51057144 has 48 divisors (see below), whose sum is σ = 139113000. Its totient is φ = 16916544.

The previous prime is 51057143. The next prime is 51057157. The reversal of 51057144 is 44175015.

It is a happy number.

51057144 is a `hidden beast` number, since 51 + 0 + 571 + 44 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51057143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10407 + ... + 14505.

Almost surely, 2^51057144 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 51057144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69556500).

51057144 is an abundant number, since it is smaller than the sum of its proper divisors (88055856).

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

51057144 is a wasteful number, since it uses less digits than its factorization.

51057144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 51057144 is about 7145.4281887092. The cubic root of 51057144 is about 370.9814314442.

The spelling of 51057144 in words is "fifty-one million, fifty-seven thousand, one hundred forty-four".