51505210152 has 480 divisors, whose sum is σ = 166445547840. Its totient is φ = 14752627200.

The previous prime is 51505210151. The next prime is 51505210171. The reversal of 51505210152 is 25101250515.

51505210152 is a `hidden beast` number, since 5 + 1 + 505 + 2 + 1 + 0 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (51505210151) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 500050533 + ... + 500050635.

It is an arithmetic number, because the mean of its divisors is an integer number (346761558).

Almost surely, 2^51505210152 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 51505210152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83222773920).

51505210152 is an abundant number, since it is smaller than the sum of its proper divisors (114940337688).

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

51505210152 is a wasteful number, since it uses less digits than its factorization.

51505210152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

Adding to 51505210152 its reverse (25101250515), we get a palindrome (76606460667).

The spelling of 51505210152 in words is "fifty-one billion, five hundred five million, two hundred ten thousand, one hundred fifty-two".