51354880 has 72 divisors (see below), whose sum is σ = 125497512. Its totient is φ = 20127744.

The previous prime is 51354847. The next prime is 51354889. The reversal of 51354880 is 8845315.

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 39740416 = 3408^2 + 6304^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51354889) 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 7 ways as a sum of consecutive naturals, for example, 67462 + ... + 68218.

It is an arithmetic number, because the mean of its divisors is an integer number (1743021).

Almost surely, 2^51354880 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 51354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62748756).

51354880 is an abundant number, since it is smaller than the sum of its proper divisors (74142632).

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

51354880 is an equidigital number, since it uses as much as digits as its factorization.

51354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 51354880 is about 7166.2319247984. The cubic root of 51354880 is about 371.7011512798.

The spelling of 51354880 in words is "fifty-one million, three hundred fifty-four thousand, eight hundred eighty".