221525041536289 has 2 divisors, whose sum is σ = 221525041536290. Its totient is φ = 221525041536288.

The previous prime is 221525041536101. The next prime is 221525041536499. The reversal of 221525041536289 is 982635140525122.

221525041536289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153363257856064 + 68161783680225 = 12383992^2 + 8256015^2 .

It is a cyclic number.

It is not a de Polignac number, because 221525041536289 - 2²⁵ = 221525007981857 is a prime.

It is not a weakly prime, because it can be changed into another prime (221525041536889) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110762520768144 + 110762520768145.

It is an arithmetic number, because the mean of its divisors is an integer number (110762520768145).

Almost surely, 2^{221525041536289} is an apocalyptic number.

It is an amenable number.

221525041536289 is a deficient number, since it is larger than the sum of its proper divisors (1).

221525041536289 is an equidigital number, since it uses as much as digits as its factorization.

221525041536289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368000, while the sum is 55.

The spelling of 221525041536289 in words is "two hundred twenty-one trillion, five hundred twenty-five billion, forty-one million, five hundred thirty-six thousand, two hundred eighty-nine".