51534144 has 70 divisors (see below), whose sum is σ = 152778714. Its totient is φ = 17176320.

The previous prime is 51534127. The next prime is 51534163. The reversal of 51534144 is 44143515.

It is a happy number.

51534144 is a `hidden beast` number, since 515 + 3 + 4 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 25401600 = 5112^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 214 + ... + 10154.

Almost surely, 2^51534144 is an apocalyptic number.

51534144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76389357).

51534144 is an abundant number, since it is smaller than the sum of its proper divisors (101244570).

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

51534144 is an equidigital number, since it uses as much as digits as its factorization.

51534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9965 (or 9946 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 51534144 is about 7178.7285782372. The cubic root of 51534144 is about 372.1331469271.

Adding to 51534144 its reverse (44143515), we get a palindrome (95677659).

The spelling of 51534144 in words is "fifty-one million, five hundred thirty-four thousand, one hundred forty-four".