1205253236261 has 2 divisors, whose sum is σ = 1205253236262. Its totient is φ = 1205253236260.

The previous prime is 1205253236197. The next prime is 1205253236287. The reversal of 1205253236261 is 1626323525021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 780157060225 + 425096176036 = 883265^2 + 651994^2 .

It is a cyclic number.

It is not a de Polignac number, because 1205253236261 - 2⁶ = 1205253236197 is a prime.

It is a super-2 number, since 2×1205253236261² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1205253736261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 602626618130 + 602626618131.

It is an arithmetic number, because the mean of its divisors is an integer number (602626618131).

Almost surely, 2^{1205253236261} is an apocalyptic number.

It is an amenable number.

1205253236261 is a deficient number, since it is larger than the sum of its proper divisors (1).

1205253236261 is an equidigital number, since it uses as much as digits as its factorization.

1205253236261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 38.

The spelling of 1205253236261 in words is "one trillion, two hundred five billion, two hundred fifty-three million, two hundred thirty-six thousand, two hundred sixty-one".