1017134210461 has 2 divisors, whose sum is σ = 1017134210462. Its totient is φ = 1017134210460.

The previous prime is 1017134210371. The next prime is 1017134210471. The reversal of 1017134210461 is 1640124317101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1016731405561 + 402804900 = 1008331^2 + 20070^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017134210461 - 2²⁵ = 1017100656029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1017134210471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508567105230 + 508567105231.

It is an arithmetic number, because the mean of its divisors is an integer number (508567105231).

Almost surely, 2^{1017134210461} is an apocalyptic number.

It is an amenable number.

1017134210461 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017134210461 is an equidigital number, since it uses as much as digits as its factorization.

1017134210461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 1017134210461 its reverse (1640124317101), we get a palindrome (2657258527562).

The spelling of 1017134210461 in words is "one trillion, seventeen billion, one hundred thirty-four million, two hundred ten thousand, four hundred sixty-one".