51006106170 has 288 divisors, whose sum is σ = 146023637760. Its totient is φ = 12321745920.

The previous prime is 51006106169. The next prime is 51006106183. The reversal of 51006106170 is 7160160015.

51006106170 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116186811 + ... + 116187249.

It is an arithmetic number, because the mean of its divisors is an integer number (507026520).

Almost surely, 2^51006106170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51006106170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73011818880).

51006106170 is an abundant number, since it is smaller than the sum of its proper divisors (95017531590).

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

51006106170 is a wasteful number, since it uses less digits than its factorization.

51006106170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 51006106170 its reverse (7160160015), we get a palindrome (58166266185).

The spelling of 51006106170 in words is "fifty-one billion, six million, one hundred six thousand, one hundred seventy".