51180624 has 120 divisors (see below), whose sum is σ = 158620800. Its totient is φ = 15275520.

The previous prime is 51180617. The next prime is 51180629. The reversal of 51180624 is 42608115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51180629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124932 + ... + 125340.

It is an arithmetic number, because the mean of its divisors is an integer number (1321840).

Almost surely, 2^51180624 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 51180624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310400).

51180624 is an abundant number, since it is smaller than the sum of its proper divisors (107440176).

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

51180624 is a wasteful number, since it uses less digits than its factorization.

51180624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51180624 is about 7154.0634607194. The cubic root of 51180624 is about 371.2802594116.

Adding to 51180624 its reverse (42608115), we get a palindrome (93788739).

The spelling of 51180624 in words is "fifty-one million, one hundred eighty thousand, six hundred twenty-four".