51070563306 has 216 divisors, whose sum is σ = 134697927780. Its totient is φ = 13941607680.

The previous prime is 51070563293. The next prime is 51070563329. The reversal of 51070563306 is 60336507015.

It is a happy number.

51070563306 is a `hidden beast` number, since 5 + 10 + 7 + 0 + 5 + 633 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49280004081 + 1790559225 = 221991^2 + 42315^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 75436240 + ... + 75436916.

Almost surely, 2^51070563306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51070563306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67348963890).

51070563306 is an abundant number, since it is smaller than the sum of its proper divisors (83627364474).

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

51070563306 is a wasteful number, since it uses less digits than its factorization.

51070563306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 51070563306 in words is "fifty-one billion, seventy million, five hundred sixty-three thousand, three hundred six".