1313753808481 has 27 divisors (see below), whose sum is σ = 1406909806393. Its totient is φ = 1226516065280.

The previous prime is 1313753808473. The next prime is 1313753808509. The reversal of 1313753808481 is 1848083573131.

The square root of 1313753808481 is 1146191.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 52445122081 + 1261308686400 = 229009^2 + 1123080^2 .

It is not a de Polignac number, because 1313753808481 - 2³ = 1313753808473 is a prime.

It is a super-2 number, since 2×1313753808481² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1313753808581) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3721682001 + ... + 3721682353.

Almost surely, 2^{1313753808481} is an apocalyptic number.

1313753808481 is the 1146191-st square number.

1313753808481 is the 573096-th centered octagonal number.

It is an amenable number.

1313753808481 is a deficient number, since it is larger than the sum of its proper divisors (93155997912).

1313753808481 is an frugal number, since it uses more digits than its factorization.

1313753808481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 1313753808481 in words is "one trillion, three hundred thirteen billion, seven hundred fifty-three million, eight hundred eight thousand, four hundred eighty-one".