51208080 has 320 divisors, whose sum is σ = 210843648. Its totient is φ = 9953280.

The previous prime is 51208067. The next prime is 51208081. The reversal of 51208080 is 8080215.

51208080 = T₁₃₃₇ + T₁₃₃₈ + ... + T₁₃₉₁.

51208080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

51208080 is a modest number, since divided by 8080 gives 5120 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 51208080.

It is not an unprimeable number, because it can be changed into a prime (51208081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314079 + ... + 314241.

Almost surely, 2^51208080 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 51208080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105421824).

51208080 is an abundant number, since it is smaller than the sum of its proper divisors (159635568).

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

51208080 is a wasteful number, since it uses less digits than its factorization.

51208080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 51208080 is about 7155.9821128899. The cubic root of 51208080 is about 371.3466390146.

Adding to 51208080 its reverse (8080215), we get a palindrome (59288295).

The spelling of 51208080 in words is "fifty-one million, two hundred eight thousand, eighty".