50573263225 has 27 divisors (see below), whose sum is σ = 64336332391. Its totient is φ = 39435833600.

The previous prime is 50573263207. The next prime is 50573263267. The reversal of 50573263225 is 52236237505.

It is a happy number.

The square root of 50573263225 is 224885.

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

It can be written as a sum of positive squares in 13 ways, for example, as 49538740329 + 1034522896 = 222573^2 + 32164^2 .

It is not a de Polignac number, because 50573263225 - 2²⁷ = 50439045497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46100877 + ... + 46101973.

Almost surely, 2^50573263225 is an apocalyptic number.

50573263225 is the 224885-th square number.

50573263225 is the 112443-rd centered octagonal number.

It is an amenable number.

50573263225 is a deficient number, since it is larger than the sum of its proper divisors (13763069166).

50573263225 is an frugal number, since it uses more digits than its factorization.

50573263225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 50573263225 in words is "fifty billion, five hundred seventy-three million, two hundred sixty-three thousand, two hundred twenty-five".