221135273209757 has 2 divisors, whose sum is σ = 221135273209758. Its totient is φ = 221135273209756.

The previous prime is 221135273209703. The next prime is 221135273209787. The reversal of 221135273209757 is 757902372531122.

221135273209757 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., 219921455403001 + 1213817806756 = 14829749^2 + 1101734^2 .

It is a cyclic number.

It is not a de Polignac number, because 221135273209757 - 2¹² = 221135273205661 is a prime.

It is a super-2 number, since 2×221135273209757² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221135273209787) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110567636604878 + 110567636604879.

It is an arithmetic number, because the mean of its divisors is an integer number (110567636604879).

Almost surely, 2^{221135273209757} is an apocalyptic number.

It is an amenable number.

221135273209757 is a deficient number, since it is larger than the sum of its proper divisors (1).

221135273209757 is an equidigital number, since it uses as much as digits as its factorization.

221135273209757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11113200, while the sum is 56.

The spelling of 221135273209757 in words is "two hundred twenty-one trillion, one hundred thirty-five billion, two hundred seventy-three million, two hundred nine thousand, seven hundred fifty-seven".