51005006500050 has 72 divisors (see below), whose sum is σ = 138290638551780. Its totient is φ = 13476552163200.

The previous prime is 51005006500039. The next prime is 51005006500117. The reversal of 51005006500050 is 5000560050015.

51005006500050 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 5 + 0 + 0 + 650 + 0 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18020763637569 + 32984242862481 = 4245087^2 + 5743191^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51005006499987 and 51005006500023.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 519879661 + ... + 519977760.

Almost surely, 2^{51005006500050} is an apocalyptic number.

51005006500050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51005006500050 is an abundant number, since it is smaller than the sum of its proper divisors (87285632051730).

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

51005006500050 is a wasteful number, since it uses less digits than its factorization.

51005006500050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039857548 (or 1039857540 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 51005006500050 its reverse (5000560050015), we get a palindrome (56005566550065).

The spelling of 51005006500050 in words is "fifty-one trillion, five billion, six million, five hundred thousand, fifty".