50317219225 has 243 divisors, whose sum is σ = 86465761317. Its totient is φ = 28942018560.

The previous prime is 50317219219. The next prime is 50317219261. The reversal of 50317219225 is 52291271305.

It is a happy number.

The square root of 50317219225 is 224315.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 48075386121 + 2241833104 = 219261^2 + 47348^2 .

It is not a de Polignac number, because 50317219225 - 2¹⁷ = 50317088153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1735076511 + ... + 1735076539.

Almost surely, 2^50317219225 is an apocalyptic number.

50317219225 is the 224315-th square number.

50317219225 is the 112158-th centered octagonal number.

It is an amenable number.

50317219225 is a deficient number, since it is larger than the sum of its proper divisors (36148542092).

50317219225 is a wasteful number, since it uses less digits than its factorization.

50317219225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 50317219225 in words is "fifty billion, three hundred seventeen million, two hundred nineteen thousand, two hundred twenty-five".