1531386782017 has 2 divisors, whose sum is σ = 1531386782018. Its totient is φ = 1531386782016.

The previous prime is 1531386781973. The next prime is 1531386782033. The reversal of 1531386782017 is 7102876831351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1126249440001 + 405137342016 = 1061249^2 + 636504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1531386782017 is a prime.

It is a super-2 number, since 2×1531386782017² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1531386782047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 765693391008 + 765693391009.

It is an arithmetic number, because the mean of its divisors is an integer number (765693391009).

Almost surely, 2^{1531386782017} is an apocalyptic number.

It is an amenable number.

1531386782017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1531386782017 is an equidigital number, since it uses as much as digits as its factorization.

1531386782017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 1531386782017 in words is "one trillion, five hundred thirty-one billion, three hundred eighty-six million, seven hundred eighty-two thousand, seventeen".