1010586676661 has 2 divisors, whose sum is σ = 1010586676662. Its totient is φ = 1010586676660.

The previous prime is 1010586676643. The next prime is 1010586676669. The reversal of 1010586676661 is 1666766850101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003615261636 + 6971415025 = 1001806^2 + 83495^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010586676661 - 2¹⁴ = 1010586660277 is a prime.

It is a super-3 number, since 3×1010586676661³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010586676669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505293338330 + 505293338331.

It is an arithmetic number, because the mean of its divisors is an integer number (505293338331).

Almost surely, 2^{1010586676661} is an apocalyptic number.

It is an amenable number.

1010586676661 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010586676661 is an equidigital number, since it uses as much as digits as its factorization.

1010586676661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 1010586676661 in words is "one trillion, ten billion, five hundred eighty-six million, six hundred seventy-six thousand, six hundred sixty-one".