1005368635001 has 4 divisors (see below), whose sum is σ = 1015322780004. Its totient is φ = 995414490000.

The previous prime is 1005368634983. The next prime is 1005368635067.

1005368635001 is nontrivially palindromic in base 10.

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

It can be written as a sum of positive squares in 2 ways, for example, as 662791374400 + 342577260601 = 814120^2 + 585301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005368635001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005368635301) 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, 4977072350 + ... + 4977072551.

It is an arithmetic number, because the mean of its divisors is an integer number (253830695001).

Almost surely, 2^{1005368635001} is an apocalyptic number.

It is an amenable number.

1005368635001 is a deficient number, since it is larger than the sum of its proper divisors (9954145003).

1005368635001 is an equidigital number, since it uses as much as digits as its factorization.

1005368635001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954145002.

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 1005368635001 in words is "one trillion, five billion, three hundred sixty-eight million, six hundred thirty-five thousand, one".