1006761282761 has 4 divisors (see below), whose sum is σ = 1084204458372. Its totient is φ = 929318107152.

The previous prime is 1006761282749. The next prime is 1006761282773. The reversal of 1006761282761 is 1672821676001.

1006761282761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (1006761282749) and next prime (1006761282773).

It can be written as a sum of positive squares in 2 ways, for example, as 450752447161 + 556008835600 = 671381^2 + 745660^2 .

It is a cyclic number.

It is not a de Polignac number, because 1006761282761 - 2¹⁴ = 1006761266377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006761282781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38721587786 + ... + 38721587811.

It is an arithmetic number, because the mean of its divisors is an integer number (271051114593).

Almost surely, 2^{1006761282761} is an apocalyptic number.

It is an amenable number.

1006761282761 is a deficient number, since it is larger than the sum of its proper divisors (77443175611).

1006761282761 is an equidigital number, since it uses as much as digits as its factorization.

1006761282761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77443175610.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 1006761282761 in words is "one trillion, six billion, seven hundred sixty-one million, two hundred eighty-two thousand, seven hundred sixty-one".