1261230410417 has 2 divisors, whose sum is σ = 1261230410418. Its totient is φ = 1261230410416.

The previous prime is 1261230410371. The next prime is 1261230410443. The reversal of 1261230410417 is 7140140321621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1120244429056 + 140985981361 = 1058416^2 + 375481^2 .

It is a cyclic number.

It is not a de Polignac number, because 1261230410417 - 2²⁰ = 1261229361841 is a prime.

It is a super-2 number, since 2×1261230410417² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1261230410117) 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, 630615205208 + 630615205209.

It is an arithmetic number, because the mean of its divisors is an integer number (630615205209).

Almost surely, 2^{1261230410417} is an apocalyptic number.

It is an amenable number.

1261230410417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1261230410417 is an equidigital number, since it uses as much as digits as its factorization.

1261230410417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 1261230410417 in words is "one trillion, two hundred sixty-one billion, two hundred thirty million, four hundred ten thousand, four hundred seventeen".