1012679171137 has 2 divisors, whose sum is σ = 1012679171138. Its totient is φ = 1012679171136.

The previous prime is 1012679171111. The next prime is 1012679171143. The reversal of 1012679171137 is 7311719762101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 990653939856 + 22025231281 = 995316^2 + 148409^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012679171137 - 2¹⁵ = 1012679138369 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012679171237) 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, 506339585568 + 506339585569.

It is an arithmetic number, because the mean of its divisors is an integer number (506339585569).

Almost surely, 2^{1012679171137} is an apocalyptic number.

It is an amenable number.

1012679171137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012679171137 is an equidigital number, since it uses as much as digits as its factorization.

1012679171137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 111132, while the sum is 46.

The spelling of 1012679171137 in words is "one trillion, twelve billion, six hundred seventy-nine million, one hundred seventy-one thousand, one hundred thirty-seven".