2221301217953 has 2 divisors, whose sum is σ = 2221301217954. Its totient is φ = 2221301217952.

The previous prime is 2221301217943. The next prime is 2221301218139. The reversal of 2221301217953 is 3597121031222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1897845130129 + 323456087824 = 1377623^2 + 568732^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221301217953 - 2⁴⁰ = 1121789590177 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221301217913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110650608976 + 1110650608977.

It is an arithmetic number, because the mean of its divisors is an integer number (1110650608977).

Almost surely, 2^{2221301217953} is an apocalyptic number.

It is an amenable number.

2221301217953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221301217953 is an equidigital number, since it uses as much as digits as its factorization.

2221301217953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 38.

The spelling of 2221301217953 in words is "two trillion, two hundred twenty-one billion, three hundred one million, two hundred seventeen thousand, nine hundred fifty-three".