51310080 has 240 divisors, whose sum is σ = 189590544. Its totient is φ = 12779520.

The previous prime is 51310057. The next prime is 51310081. The reversal of 51310080 is 8001315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51310081) 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, 391615 + ... + 391745.

Almost surely, 2^51310080 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 51310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94795272).

51310080 is an abundant number, since it is smaller than the sum of its proper divisors (138280464).

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

51310080 is a wasteful number, since it uses less digits than its factorization.

51310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51310080 is about 7163.1054717908. The cubic root of 51310080 is about 371.5930339586.

Adding to 51310080 its reverse (8001315), we get a palindrome (59311395).

The spelling of 51310080 in words is "fifty-one million, three hundred ten thousand, eighty".