221525040753217 has 2 divisors, whose sum is σ = 221525040753218. Its totient is φ = 221525040753216.

The previous prime is 221525040753151. The next prime is 221525040753221. The reversal of 221525040753217 is 712357040525122.

221525040753217 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., 135620022651201 + 85905018102016 = 11645601^2 + 9268496^2 .

It is a cyclic number.

It is not a de Polignac number, because 221525040753217 - 2¹⁵ = 221525040720449 is a prime.

It is not a weakly prime, because it can be changed into another prime (221525040753227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110762520376608 + 110762520376609.

It is an arithmetic number, because the mean of its divisors is an integer number (110762520376609).

Almost surely, 2^{221525040753217} is an apocalyptic number.

It is an amenable number.

221525040753217 is a deficient number, since it is larger than the sum of its proper divisors (1).

221525040753217 is an equidigital number, since it uses as much as digits as its factorization.

221525040753217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1176000, while the sum is 46.

The spelling of 221525040753217 in words is "two hundred twenty-one trillion, five hundred twenty-five billion, forty million, seven hundred fifty-three thousand, two hundred seventeen".