51006075010575 has 24 divisors (see below), whose sum is σ = 84331111244688. Its totient is φ = 27202895738880.

The previous prime is 51006075010477. The next prime is 51006075010577. The reversal of 51006075010575 is 57501057060015.

It is a happy number.

It is not a de Polignac number, because 51006075010575 - 2⁷ = 51006075010447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51006075010577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1718319 + ... + 10245231.

It is an arithmetic number, because the mean of its divisors is an integer number (3513796301862).

Almost surely, 2^{51006075010575} is an apocalyptic number.

51006075010575 is a deficient number, since it is larger than the sum of its proper divisors (33325036234113).

51006075010575 is a wasteful number, since it uses less digits than its factorization.

51006075010575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8606683 (or 8606678 counting only the distinct ones).

The product of its (nonzero) digits is 183750, while the sum is 42.

The spelling of 51006075010575 in words is "fifty-one trillion, six billion, seventy-five million, ten thousand, five hundred seventy-five".