1311501453125 has 28 divisors (see below), whose sum is σ = 1640067053748. Its totient is φ = 1048746000000.

The previous prime is 1311501453011. The next prime is 1311501453127. The reversal of 1311501453125 is 5213541051131.

It can be written as a sum of positive squares in 14 ways, for example, as 1196663154241 + 114838298884 = 1093921^2 + 338878^2 .

It is not a de Polignac number, because 1311501453125 - 2¹⁴ = 1311501436741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311501453091 and 1311501453100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311501453127) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 38623655 + ... + 38657595.

Almost surely, 2^{1311501453125} is an apocalyptic number.

It is an amenable number.

1311501453125 is a deficient number, since it is larger than the sum of its proper divisors (328565600623).

1311501453125 is an frugal number, since it uses more digits than its factorization.

1311501453125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36444 (or 36419 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 1311501453125 in words is "one trillion, three hundred eleven billion, five hundred one million, four hundred fifty-three thousand, one hundred twenty-five".