414270131617 has 2 divisors, whose sum is σ = 414270131618. Its totient is φ = 414270131616.

The previous prime is 414270131533. The next prime is 414270131669. The reversal of 414270131617 is 716131072414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 395740388241 + 18529743376 = 629079^2 + 136124^2 .

It is a cyclic number.

It is not a de Polignac number, because 414270131617 - 2¹⁹ = 414269607329 is a prime.

It is not a weakly prime, because it can be changed into another prime (414270131417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207135065808 + 207135065809.

It is an arithmetic number, because the mean of its divisors is an integer number (207135065809).

Almost surely, 2^414270131617 is an apocalyptic number.

It is an amenable number.

414270131617 is a deficient number, since it is larger than the sum of its proper divisors (1).

414270131617 is an equidigital number, since it uses as much as digits as its factorization.

414270131617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28224, while the sum is 37.

The spelling of 414270131617 in words is "four hundred fourteen billion, two hundred seventy million, one hundred thirty-one thousand, six hundred seventeen".