51413024 has 48 divisors (see below), whose sum is σ = 110563992. Its totient is φ = 23390208.

The previous prime is 51413023. The next prime is 51413039. The reversal of 51413024 is 42031415.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 17073424 = 5860^2 + 4132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51412987 and 51413005.

It is not an unprimeable number, because it can be changed into a prime (51413023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29522 + ... + 31214.

Almost surely, 2^51413024 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 51413024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55281996).

51413024 is an abundant number, since it is smaller than the sum of its proper divisors (59150968).

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

51413024 is a wasteful number, since it uses less digits than its factorization.

51413024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 51413024 is about 7170.2875814015. The cubic root of 51413024 is about 371.8413783976.

Adding to 51413024 its reverse (42031415), we get a palindrome (93444439).

The spelling of 51413024 in words is "fifty-one million, four hundred thirteen thousand, twenty-four".