51516144 has 90 divisors (see below), whose sum is σ = 152314656. Its totient is φ = 16251840.

The previous prime is 51516097. The next prime is 51516167. The reversal of 51516144 is 44161515.

51516144 is a `hidden beast` number, since 5 + 1 + 516 + 144 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51489 + ... + 52479.

Almost surely, 2^51516144 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 51516144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76157328).

51516144 is an abundant number, since it is smaller than the sum of its proper divisors (100798512).

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

51516144 is a wasteful number, since it uses less digits than its factorization.

51516144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1015 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51516144 is about 7177.4747648459. The cubic root of 51516144 is about 372.0898152887.

Adding to 51516144 its reverse (44161515), we get a palindrome (95677659).

The spelling of 51516144 in words is "fifty-one million, five hundred sixteen thousand, one hundred forty-four".