225200753 has 2 divisors, whose sum is σ = 225200754. Its totient is φ = 225200752.

The previous prime is 225200707. The next prime is 225200777. The reversal of 225200753 is 357002522.

225200753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 196224064 + 28976689 = 14008^2 + 5383^2 .

It is a cyclic number.

It is not a de Polignac number, because 225200753 - 2¹⁴ = 225184369 is a prime.

It is a super-3 number, since 3×225200753³ (a number of 26 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (225200783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112600376 + 112600377.

It is an arithmetic number, because the mean of its divisors is an integer number (112600377).

Almost surely, 2^225200753 is an apocalyptic number.

It is an amenable number.

225200753 is a deficient number, since it is larger than the sum of its proper divisors (1).

225200753 is an equidigital number, since it uses as much as digits as its factorization.

225200753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 225200753 is about 15006.6902746742. The cubic root of 225200753 is about 608.4010376805.

The spelling of 225200753 in words is "two hundred twenty-five million, two hundred thousand, seven hundred fifty-three".