225785280050 has 162 divisors, whose sum is σ = 476339751237. Its totient is φ = 79563616000.

The previous prime is 225785280047. The next prime is 225785280059. The reversal of 225785280050 is 50082587522.

225785280050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 14 ways, for example, as 186759672649 + 39025607401 = 432157^2 + 197549^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335995.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 225785279983 and 225785280010.

It is not an unprimeable number, because it can be changed into a prime (225785280059) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1515337376 + ... + 1515337524.

Almost surely, 2^225785280050 is an apocalyptic number.

225785280050 is an abundant number, since it is smaller than the sum of its proper divisors (250554471187).

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

225785280050 is a wasteful number, since it uses less digits than its factorization.

225785280050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 225785280050 in words is "two hundred twenty-five billion, seven hundred eighty-five million, two hundred eighty thousand, fifty".