1580385513313 has 2 divisors, whose sum is σ = 1580385513314. Its totient is φ = 1580385513312.

The previous prime is 1580385513251. The next prime is 1580385513353. The reversal of 1580385513313 is 3133155830851.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1521650536704 + 58734976609 = 1233552^2 + 242353^2 .

It is an emirp because it is prime and its reverse (3133155830851) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1580385513313 - 2¹⁷ = 1580385382241 is a prime.

It is not a weakly prime, because it can be changed into another prime (1580385513353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 790192756656 + 790192756657.

It is an arithmetic number, because the mean of its divisors is an integer number (790192756657).

Almost surely, 2^{1580385513313} is an apocalyptic number.

It is an amenable number.

1580385513313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1580385513313 is an equidigital number, since it uses as much as digits as its factorization.

1580385513313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648000, while the sum is 46.

The spelling of 1580385513313 in words is "one trillion, five hundred eighty billion, three hundred eighty-five million, five hundred thirteen thousand, three hundred thirteen".