1005360753361 has 4 divisors (see below), whose sum is σ = 1032532665652. Its totient is φ = 978188841072.

The previous prime is 1005360753317. The next prime is 1005360753367. The reversal of 1005360753361 is 1633570635001.

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 976539240000 + 28821513361 = 988200^2 + 169769^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005360753361 - 2²¹ = 1005358656209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005360753367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13585956090 + ... + 13585956163.

It is an arithmetic number, because the mean of its divisors is an integer number (258133166413).

Almost surely, 2^{1005360753361} is an apocalyptic number.

It is an amenable number.

1005360753361 is a deficient number, since it is larger than the sum of its proper divisors (27171912291).

1005360753361 is an equidigital number, since it uses as much as digits as its factorization.

1005360753361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171912290.

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 1005360753361 in words is "one trillion, five billion, three hundred sixty million, seven hundred fifty-three thousand, three hundred sixty-one".