1005766813 has 8 divisors (see below), whose sum is σ = 1012535928. Its totient is φ = 999009024.

The previous prime is 1005766781. The next prime is 1005766831. The reversal of 1005766813 is 3186675001.

It can be written as a sum of positive squares in 4 ways, for example, as 536524569 + 469242244 = 23163^2 + 21662^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005766813 - 2⁵ = 1005766781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005766873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245881 + ... + 249937.

It is an arithmetic number, because the mean of its divisors is an integer number (126566991).

Almost surely, 2^1005766813 is an apocalyptic number.

It is an amenable number.

1005766813 is a deficient number, since it is larger than the sum of its proper divisors (6769115).

1005766813 is a wasteful number, since it uses less digits than its factorization.

1005766813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1005766813 is about 31713.8268425619. The cubic root of 1005766813 is about 1001.9185876673.

The spelling of 1005766813 in words is "one billion, five million, seven hundred sixty-six thousand, eight hundred thirteen".