51270144 has 80 divisors (see below), whose sum is σ = 141419520. Its totient is φ = 16486400.

The previous prime is 51270143. The next prime is 51270157. The reversal of 51270144 is 44107215.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 (51270143) 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, 43969 + ... + 45119.

It is an arithmetic number, because the mean of its divisors is an integer number (1767744).

Almost surely, 2^51270144 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 51270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

51270144 is an abundant number, since it is smaller than the sum of its proper divisors (90149376).

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

51270144 is a wasteful number, since it uses less digits than its factorization.

51270144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 51270144 is about 7160.3173114046. The cubic root of 51270144 is about 371.4966020218.

Adding to 51270144 its reverse (44107215), we get a palindrome (95377359).

The spelling of 51270144 in words is "fifty-one million, two hundred seventy thousand, one hundred forty-four".