51006501150 has 192 divisors, whose sum is σ = 140653497600. Its totient is φ = 12128256000.

The previous prime is 51006501137. The next prime is 51006501151. The reversal of 51006501150 is 5110560015.

51006501150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51006501150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006501151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66327966 + ... + 66328734.

It is an arithmetic number, because the mean of its divisors is an integer number (732570300).

Almost surely, 2^51006501150 is an apocalyptic number.

51006501150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006501150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326748800).

51006501150 is an abundant number, since it is smaller than the sum of its proper divisors (89646996450).

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

51006501150 is a wasteful number, since it uses less digits than its factorization.

51006501150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 51006501150 in words is "fifty-one billion, six million, five hundred one thousand, one hundred fifty".